57654 has 12 divisors (see below), whose sum is σ = 124956. Its totient is φ = 19212.

The previous prime is 57653. The next prime is 57667. The reversal of 57654 is 45675.

57654 is a `hidden beast` number, since 5 + 7 + 654 = 666.

57654 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57654.

It is not an unprimeable number, because it can be changed into a prime (57653) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1584 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (10413).

2⁵⁷⁶⁵⁴ is an apocalyptic number.

57654 is an abundant number, since it is smaller than the sum of its proper divisors (67302).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57654 is a wasteful number, since it uses less digits than its factorization.

57654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211 (or 3208 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 57654 is about 240.1124736452. The cubic root of 57654 is about 38.6316402321.

It can be divided in two parts, 576 and 54, that added together give a triangular number (630 = T₃₅).

The spelling of 57654 in words is "fifty-seven thousand, six hundred fifty-four".