56322 has 32 divisors (see below), whose sum is σ = 144000. Its totient is φ = 15984.

The previous prime is 56311. The next prime is 56333. The reversal of 56322 is 22365.

It is an interprime number because it is at equal distance from previous prime (56311) and next prime (56333).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 56295 and 56304.

It is an unprimeable number.

56322 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 15 ways as a sum of consecutive naturals, for example, 304 + ... + 452.

It is an arithmetic number, because the mean of its divisors is an integer number (4500).

2⁵⁶³²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72000).

56322 is an abundant number, since it is smaller than the sum of its proper divisors (87678).

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

56322 is a wasteful number, since it uses less digits than its factorization.

56322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 56322 is about 237.3225652988. The cubic root of 56322 is about 38.3318125841.

Adding to 56322 its reverse (22365), we get a palindrome (78687).

It can be divided in two parts, 563 and 22, that added together give a palindrome (585).

The spelling of 56322 in words is "fifty-six thousand, three hundred twenty-two".