30975 has 24 divisors (see below), whose sum is σ = 59520. Its totient is φ = 13920.

The previous prime is 30971. The next prime is 30977. The reversal of 30975 is 57903.

It is a Cunningham number, because it is equal to 176²-1.

It is not a de Polignac number, because 30975 - 2² = 30971 is a prime.

It is a plaindrome in base 13 and base 16.

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 (30971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (2480).

2³⁰⁹⁷⁵ is an apocalyptic number.

30975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30975 is a deficient number, since it is larger than the sum of its proper divisors (28545).

30975 is a wasteful number, since it uses less digits than its factorization.

30975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 30975 is about 175.9971590680. The cubic root of 30975 is about 31.4053596812.

The spelling of 30975 in words is "thirty thousand, nine hundred seventy-five".