57653 has 2 divisors, whose sum is σ = 57654. Its totient is φ = 57652.

The previous prime is 57649. The next prime is 57667. The reversal of 57653 is 35675.

57653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54289 + 3364 = 233^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 57653 - 2² = 57649 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28826 + 28827.

It is an arithmetic number, because the mean of its divisors is an integer number (28827).

2⁵⁷⁶⁵³ is an apocalyptic number.

It is an amenable number.

57653 is a deficient number, since it is larger than the sum of its proper divisors (1).

57653 is an equidigital number, since it uses as much as digits as its factorization.

57653 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3150, while the sum is 26.

The square root of 57653 is about 240.1103912787. The cubic root of 57653 is about 38.6314168774.

The spelling of 57653 in words is "fifty-seven thousand, six hundred fifty-three".