55917 has 16 divisors (see below), whose sum is σ = 88000. Its totient is φ = 34992.

The previous prime is 55903. The next prime is 55921. The reversal of 55917 is 71955.

It is not a de Polignac number, because 55917 - 2⁴ = 55901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (5500).

2⁵⁵⁹¹⁷ is an apocalyptic number.

55917 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

55917 is a deficient number, since it is larger than the sum of its proper divisors (32083).

55917 is a wasteful number, since it uses less digits than its factorization.

55917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 55917 is about 236.4677567873. The cubic root of 55917 is about 38.2397127275.

It can be divided in two parts, 559 and 17, that added together give a square (576 = 24²).

The spelling of 55917 in words is "fifty-five thousand, nine hundred seventeen".