57465 has 12 divisors (see below), whose sum is σ = 99684. Its totient is φ = 30624.

The previous prime is 57457. The next prime is 57467. The reversal of 57465 is 56475.

57465 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 can be written as a sum of positive squares in 2 ways, for example, as 29241 + 28224 = 171^2 + 168^2 .

It is not a de Polignac number, because 57465 - 2³ = 57457 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57467) 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, 594 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (8307).

2⁵⁷⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

57465 is a deficient number, since it is larger than the sum of its proper divisors (42219).

57465 is a wasteful number, since it uses less digits than its factorization.

57465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1285 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 57465 is about 239.7185850117. The cubic root of 57465 is about 38.5893802387.

Subtracting from 57465 its reverse (56475), we obtain a triangular number (990 = T₄₄).

The spelling of 57465 in words is "fifty-seven thousand, four hundred sixty-five".