55692 has 72 divisors (see below), whose sum is σ = 183456. Its totient is φ = 13824.

The previous prime is 55691. The next prime is 55697. The reversal of 55692 is 29655.

55692 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (55691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3268 + ... + 3284.

It is an arithmetic number, because the mean of its divisors is an integer number (2548).

2⁵⁵⁶⁹² is an apocalyptic number.

55692 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728).

55692 is an abundant number, since it is smaller than the sum of its proper divisors (127764).

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

55692 is a wasteful number, since it uses less digits than its factorization.

55692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 42 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 55692 is about 235.9915252716. The cubic root of 55692 is about 38.1883538596.

It can be divided in two parts, 55 and 692, that added together give a palindrome (747).

The spelling of 55692 in words is "fifty-five thousand, six hundred ninety-two".