45975 has 12 divisors (see below), whose sum is σ = 76136. Its totient is φ = 24480.

The previous prime is 45971. The next prime is 45979. The reversal of 45975 is 57954.

It is an interprime number because it is at equal distance from previous prime (45971) and next prime (45979).

It is not a de Polignac number, because 45975 - 2² = 45971 is a prime.

It is a super-2 number, since 2×45975² = 4227401250, which contains 22 as substring.

It is a Duffinian number.

45975 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45975.

It is not an unprimeable number, because it can be changed into a prime (45971) 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, 232 + ... + 381.

2⁴⁵⁹⁷⁵ is an apocalyptic number.

45975 is a deficient number, since it is larger than the sum of its proper divisors (30161).

45975 is a wasteful number, since it uses less digits than its factorization.

45975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 621 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 45975 is about 214.4178164239. The cubic root of 45975 is about 35.8239865051.

The spelling of 45975 in words is "forty-five thousand, nine hundred seventy-five".