55770 has 48 divisors (see below), whose sum is σ = 158112. Its totient is φ = 12480.

The previous prime is 55763. The next prime is 55787. The reversal of 55770 is 7755.

It is a super-2 number, since 2×55770² = 6220585800, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 55770.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4284 + ... + 4296.

It is an arithmetic number, because the mean of its divisors is an integer number (3294).

2⁵⁵⁷⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79056).

55770 is an abundant number, since it is smaller than the sum of its proper divisors (102342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55770 is a wasteful number, since it uses less digits than its factorization.

55770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 55770 is about 236.1567276196. The cubic root of 55770 is about 38.2061739059.

Subtracting from 55770 its product of nonzero digits (1225), we obtain a palindrome (54545).

It can be divided in two parts, 5 and 5770, that added together give a palindrome (5775).

The spelling of 55770 in words is "fifty-five thousand, seven hundred seventy".