45957 has 4 divisors (see below), whose sum is σ = 61280. Its totient is φ = 30636.

The previous prime is 45953. The next prime is 45959. The reversal of 45957 is 75954.

45957 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 45957 - 2² = 45953 is a prime.

It is a super-2 number, since 2×45957² = 4224091698, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

45957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7657 + ... + 7662.

It is an arithmetic number, because the mean of its divisors is an integer number (15320).

45957 is a Friedman number, since it can be written as 7*(9^4+5)-5, using all its digits and the basic arithmetic operations.

2⁴⁵⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

45957 is a deficient number, since it is larger than the sum of its proper divisors (15323).

45957 is a wasteful number, since it uses less digits than its factorization.

45957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15322.

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

The square root of 45957 is about 214.3758381908. The cubic root of 45957 is about 35.8193106601.

The spelling of 45957 in words is "forty-five thousand, nine hundred fifty-seven".