55362 has 8 divisors (see below), whose sum is σ = 110736. Its totient is φ = 18452.

The previous prime is 55351. The next prime is 55373. The reversal of 55362 is 26355.

It is an interprime number because it is at equal distance from previous prime (55351) and next prime (55373).

It is a sphenic number, since it is the product of 3 distinct primes.

55362 is an admirable number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55362.

It is an unprimeable number.

55362 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4608 + ... + 4619.

It is an arithmetic number, because the mean of its divisors is an integer number (13842).

2⁵⁵³⁶² is an apocalyptic number.

55362 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55368).

55362 is a wasteful number, since it uses less digits than its factorization.

55362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9232.

The product of its digits is 900, while the sum is 21.

The square root of 55362 is about 235.2913088068. The cubic root of 55362 is about 38.1127766960.

The spelling of 55362 in words is "fifty-five thousand, three hundred sixty-two".