52657 has 4 divisors (see below), whose sum is σ = 57456. Its totient is φ = 47860.

The previous prime is 52639. The next prime is 52667. The reversal of 52657 is 75625.

It is a happy number.

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 a cyclic number.

It is not a de Polignac number, because 52657 - 2⁷ = 52529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52627) 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, 2383 + ... + 2404.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2⁵²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

52657 is a deficient number, since it is larger than the sum of its proper divisors (4799).

52657 is a wasteful number, since it uses less digits than its factorization.

52657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798.

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

The square root of 52657 is about 229.4711310819. The cubic root of 52657 is about 37.4816502817.

It can be divided in two parts, 5 and 2657, that added together give a palindrome (2662).

The spelling of 52657 in words is "fifty-two thousand, six hundred fifty-seven".