57953 has 8 divisors (see below), whose sum is σ = 70272. Its totient is φ = 46656.

The previous prime is 57947. The next prime is 57973. The reversal of 57953 is 35975.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 57953 - 2⁸ = 57697 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (57923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (8784).

2⁵⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

57953 is a deficient number, since it is larger than the sum of its proper divisors (12319).

57953 is a wasteful number, since it uses less digits than its factorization.

57953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511.

The product of its digits is 4725, while the sum is 29.

The square root of 57953 is about 240.7342933610. The cubic root of 57953 is about 38.6983077645.

The spelling of 57953 in words is "fifty-seven thousand, nine hundred fifty-three".