54057 has 8 divisors (see below), whose sum is σ = 74176. Its totient is φ = 34992.

The previous prime is 54049. The next prime is 54059. The reversal of 54057 is 75045.

54057 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 sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 54057 - 2³ = 54049 is a prime.

It is the 233-rd Hogben number.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54057.

It is not an unprimeable number, because it can be changed into a prime (54059) by changing a digit.

It is a nontrivial repunit in base 232.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133 + ... + 354.

It is an arithmetic number, because the mean of its divisors is an integer number (9272).

2⁵⁴⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

54057 is a deficient number, since it is larger than the sum of its proper divisors (20119).

54057 is a wasteful number, since it uses less digits than its factorization.

54057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527.

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 54057 is about 232.5016128976. The cubic root of 54057 is about 37.8109259869.

The spelling of 54057 in words is "fifty-four thousand, fifty-seven".