54657 has 6 divisors (see below), whose sum is σ = 78962. Its totient is φ = 36432.

The previous prime is 54647. The next prime is 54667. The reversal of 54657 is 75645.

54657 is a `hidden beast` number, since 5 + 4 + 657 = 666.

It is an interprime number because it is at equal distance from previous prime (54647) and next prime (54667).

It can be written as a sum of positive squares in only one way, i.e., 53361 + 1296 = 231^2 + 36^2 .

It is not a de Polignac number, because 54657 - 2⁸ = 54401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54657.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3028 + ... + 3045.

2⁵⁴⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

54657 is a deficient number, since it is larger than the sum of its proper divisors (24305).

54657 is a wasteful number, since it uses less digits than its factorization.

54657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6079 (or 6076 counting only the distinct ones).

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

The square root of 54657 is about 233.7883658354. The cubic root of 54657 is about 37.9503043818.

The spelling of 54657 in words is "fifty-four thousand, six hundred fifty-seven".