• 975 can be written using four 4's:

975 has 12 divisors (see below), whose sum is σ = 1736. Its totient is φ = 480.

The previous prime is 971. The next prime is 977. The reversal of 975 is 579.

975 = T_{10} + T_{11} + ... +
T_{18}.

975 is nontrivially palindromic in base 2 and base 4.

It is not a de Polignac number, because 975 - 2^{2} = 971 is a prime.

It is a Duffinian number.

975 is an undulating number in base 8.

Its product of digits (315) is a multiple of the sum of its prime divisors (21).

975 is a lucky number.

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69 + ... + 81.

2^{975} is an apocalyptic number.

975 is a deficient number, since it is larger than the sum of its proper divisors (761).

975 is a wasteful number, since it uses less digits than its factorization.

975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 21 counting only the distinct ones).

The product of its digits is 315, while the sum is 21.

The square root of 975 is about 31.2249899920. The cubic root of 975 is about 9.9159624134.

The spelling of 975 in words is "nine hundred seventy-five", and thus it is an aban number and an oban number.

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