55537 has 8 divisors (see below), whose sum is σ = 60800. Its totient is φ = 50544.

The previous prime is 55529. The next prime is 55541. The reversal of 55537 is 73555.

It is a happy number.

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

It is a 5-Lehmer number, since φ(55537) divides (55537-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 55537 - 2³ = 55529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55547) 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, 664 + ... + 742.

It is an arithmetic number, because the mean of its divisors is an integer number (7600).

2⁵⁵⁵³⁷ is an apocalyptic number.

It is an amenable number.

55537 is a deficient number, since it is larger than the sum of its proper divisors (5263).

55537 is a wasteful number, since it uses less digits than its factorization.

55537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135.

The product of its digits is 2625, while the sum is 25.

The square root of 55537 is about 235.6628948307. The cubic root of 55537 is about 38.1528927837.

The spelling of 55537 in words is "fifty-five thousand, five hundred thirty-seven".