55937 has 8 divisors (see below), whose sum is σ = 65472. Its totient is φ = 46800.

The previous prime is 55933. The next prime is 55949. The reversal of 55937 is 73955.

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

It is a cyclic number.

It is not a de Polignac number, because 55937 - 2² = 55933 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (55931) 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 7 ways as a sum of consecutive naturals, for example, 362 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (8184).

2⁵⁵⁹³⁷ is an apocalyptic number.

It is an amenable number.

55937 is a deficient number, since it is larger than the sum of its proper divisors (9535).

55937 is a wasteful number, since it uses less digits than its factorization.

55937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199.

The product of its digits is 4725, while the sum is 29.

The square root of 55937 is about 236.5100420701. The cubic root of 55937 is about 38.2442712881.

The spelling of 55937 in words is "fifty-five thousand, nine hundred thirty-seven".