57265 has 8 divisors (see below), whose sum is σ = 74088. Its totient is φ = 42240.

The previous prime is 57259. The next prime is 57269. The reversal of 57265 is 56275.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 57121 = 12^2 + 239^2 .

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

It is not a de Polignac number, because 57265 - 2¹¹ = 55217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (9261).

2⁵⁷²⁶⁵ is an apocalyptic number.

It is an amenable number.

57265 is a deficient number, since it is larger than the sum of its proper divisors (16823).

57265 is a wasteful number, since it uses less digits than its factorization.

57265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899.

The product of its digits is 2100, while the sum is 25.

The square root of 57265 is about 239.3010656057. The cubic root of 57265 is about 38.5445596400.

Subtracting from 57265 its reverse (56275), we obtain a triangular number (990 = T₄₄).

The spelling of 57265 in words is "fifty-seven thousand, two hundred sixty-five".