55977 has 8 divisors (see below), whose sum is σ = 76416. Its totient is φ = 36432.

The previous prime is 55967. The next prime is 55987. The reversal of 55977 is 77955.

It is an interprime number because it is at equal distance from previous prime (55967) and next prime (55987).

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

It is not a de Polignac number, because 55977 - 2⁷ = 55849 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

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 7 ways as a sum of consecutive naturals, for example, 58 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (9552).

2⁵⁵⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

55977 is a deficient number, since it is larger than the sum of its proper divisors (20439).

55977 is a wasteful number, since it uses less digits than its factorization.

55977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447.

The product of its digits is 11025, while the sum is 33.

The square root of 55977 is about 236.5945899635. The cubic root of 55977 is about 38.2533851504.

It can be divided in two parts, 559 and 77, that added together give a palindrome (636).

The spelling of 55977 in words is "fifty-five thousand, nine hundred seventy-seven".