55761 has 4 divisors (see below), whose sum is σ = 74352. Its totient is φ = 37172.

The previous prime is 55733. The next prime is 55763. The reversal of 55761 is 16755.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 55761 - 2⁶ = 55697 is a prime.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (55763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9291 + ... + 9296.

It is an arithmetic number, because the mean of its divisors is an integer number (18588).

2⁵⁵⁷⁶¹ is an apocalyptic number.

It is an amenable number.

55761 is a deficient number, since it is larger than the sum of its proper divisors (18591).

55761 is a wasteful number, since it uses less digits than its factorization.

55761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18590.

The product of its digits is 1050, while the sum is 24.

The square root of 55761 is about 236.1376717087. The cubic root of 55761 is about 38.2041185951.

The spelling of 55761 in words is "fifty-five thousand, seven hundred sixty-one".