55577 has 4 divisors (see below), whose sum is σ = 56100. Its totient is φ = 55056.

The previous prime is 55547. The next prime is 55579. The reversal of 55577 is 77555.

55577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 77555 = 5 ⋅15511.

It can be written as a sum of positive squares in 2 ways, for example, as 17161 + 38416 = 131^2 + 196^2 .

It is a cyclic number.

It is not a de Polignac number, because 55577 - 2¹² = 51481 is a prime.

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 (55579) 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, 38 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (14025).

2⁵⁵⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

55577 is a deficient number, since it is larger than the sum of its proper divisors (523).

55577 is a wasteful number, since it uses less digits than its factorization.

55577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522.

The product of its digits is 6125, while the sum is 29.

The square root of 55577 is about 235.7477465428. The cubic root of 55577 is about 38.1620503391.

The spelling of 55577 in words is "fifty-five thousand, five hundred seventy-seven".