54957 has 8 divisors (see below), whose sum is σ = 83776. Its totient is φ = 31392.

The previous prime is 54949. The next prime is 54959. The reversal of 54957 is 75945.

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

It is not a de Polignac number, because 54957 - 2³ = 54949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1288 + ... + 1329.

It is an arithmetic number, because the mean of its divisors is an integer number (10472).

2⁵⁴⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

54957 is a deficient number, since it is larger than the sum of its proper divisors (28819).

54957 is a wasteful number, since it uses less digits than its factorization.

54957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627.

The product of its digits is 6300, while the sum is 30.

The square root of 54957 is about 234.4290937576. The cubic root of 54957 is about 38.0196112991.

It can be divided in two parts, 549 and 57, that added together give a palindrome (606).

The spelling of 54957 in words is "fifty-four thousand, nine hundred fifty-seven".