53357 has 4 divisors (see below), whose sum is σ = 53820. Its totient is φ = 52896.

The previous prime is 53353. The next prime is 53359. The reversal of 53357 is 75335.

53357 is digitally balanced in base 2, because in such base 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 brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 32041 + 21316 = 179^2 + 146^2 .

It is a cyclic number.

It is not a de Polignac number, because 53357 - 2² = 53353 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53353) 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, 113 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (13455).

2⁵³³⁵⁷ is an apocalyptic number.

It is an amenable number.

53357 is a deficient number, since it is larger than the sum of its proper divisors (463).

53357 is a wasteful number, since it uses less digits than its factorization.

53357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462.

The product of its digits is 1575, while the sum is 23.

The square root of 53357 is about 230.9913418291. The cubic root of 53357 is about 37.6470081284.

It can be divided in two parts, 533 and 57, that multiplied together give a triangular number (30381 = T₂₄₆).

The spelling of 53357 in words is "fifty-three thousand, three hundred fifty-seven".