55777 has 6 divisors (see below), whose sum is σ = 59558. Its totient is φ = 52224.

The previous prime is 55763. The next prime is 55787. The reversal of 55777 is 77755.

It can be written as a sum of positive squares in 3 ways, for example, as 15376 + 40401 = 124^2 + 201^2 .

It is a de Polignac number, because none of the positive numbers 2^k-55777 is a prime.

It is a super-2 number, since 2×55777² = 6222147458, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (55717) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 193 + ... + 385.

2⁵⁵⁷⁷⁷ is an apocalyptic number.

55777 is the 193-rd pentagonal number.

It is an amenable number.

55777 is a deficient number, since it is larger than the sum of its proper divisors (3781).

55777 is a wasteful number, since it uses less digits than its factorization.

55777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its digits is 8575, while the sum is 31.

The square root of 55777 is about 236.1715478206. The cubic root of 55777 is about 38.2077723282.

The spelling of 55777 in words is "fifty-five thousand, seven hundred seventy-seven".