57629 has 12 divisors (see below), whose sum is σ = 70272. Its totient is φ = 46800.

The previous prime is 57601. The next prime is 57637. The reversal of 57629 is 92675.

57629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57629 - 2⁸ = 57373 is a prime.

It is a super-2 number, since 2×57629² = 6642203282, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57649) 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, 1844 + ... + 1874.

It is an arithmetic number, because the mean of its divisors is an integer number (5856).

2⁵⁷⁶²⁹ is an apocalyptic number.

It is an amenable number.

57629 is a deficient number, since it is larger than the sum of its proper divisors (12643).

57629 is a wasteful number, since it uses less digits than its factorization.

57629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 55 counting only the distinct ones).

The product of its digits is 3780, while the sum is 29.

The square root of 57629 is about 240.0604090641. The cubic root of 57629 is about 38.6260555913.

Subtracting from 57629 its sum of digits (29), we obtain a square (57600 = 240²).

It can be divided in two parts, 57 and 629, that multiplied together give a palindrome (35853).

The spelling of 57629 in words is "fifty-seven thousand, six hundred twenty-nine".