55257 has 8 divisors (see below), whose sum is σ = 74784. Its totient is φ = 36288.

The previous prime is 55249. The next prime is 55259. The reversal of 55257 is 75255.

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

It is not a de Polignac number, because 55257 - 2³ = 55249 is a prime.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (55259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (9348).

2⁵⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

55257 is a deficient number, since it is larger than the sum of its proper divisors (19527).

55257 is a wasteful number, since it uses less digits than its factorization.

55257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279.

The product of its digits is 1750, while the sum is 24.

The square root of 55257 is about 235.0680752463. The cubic root of 55257 is about 38.0886664507.

The spelling of 55257 in words is "fifty-five thousand, two hundred fifty-seven".