55377 has 16 divisors (see below), whose sum is σ = 94080. Its totient is φ = 31536.

The previous prime is 55373. The next prime is 55381. The reversal of 55377 is 77355.

It is an interprime number because it is at equal distance from previous prime (55373) and next prime (55381).

It is not a de Polignac number, because 55377 - 2² = 55373 is a prime.

It is a super-2 number, since 2×55377² = 6133224258, which contains 22 as substring.

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

55377 is a lucky number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 55377.

It is not an unprimeable number, because it can be changed into a prime (55373) 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 15 ways as a sum of consecutive naturals, for example, 43 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2⁵⁵³⁷⁷ is an apocalyptic number.

It is an amenable number.

55377 is a deficient number, since it is larger than the sum of its proper divisors (38703).

55377 is a wasteful number, since it uses less digits than its factorization.

55377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its digits is 3675, while the sum is 27.

The square root of 55377 is about 235.3231820285. The cubic root of 55377 is about 38.1162185275.

It can be divided in two parts, 553 and 77, that added together give a triangular number (630 = T₃₅).

The spelling of 55377 in words is "fifty-five thousand, three hundred seventy-seven".