82722 has 16 divisors (see below), whose sum is σ = 175392. Its totient is φ = 25920.

The previous prime is 82721. The next prime is 82723. The reversal of 82722 is 22728.

It is an interprime number because it is at equal distance from previous prime (82721) and next prime (82723).

It is not an unprimeable number, because it can be changed into a prime (82721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304 + ... + 507.

It is an arithmetic number, because the mean of its divisors is an integer number (10962).

2⁸²⁷²² is an apocalyptic number.

82722 is an abundant number, since it is smaller than the sum of its proper divisors (92670).

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 (87696).

82722 is a wasteful number, since it uses less digits than its factorization.

82722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833.

The product of its digits is 448, while the sum is 21.

The square root of 82722 is about 287.6143250953. The cubic root of 82722 is about 43.5719512101.

The spelling of 82722 in words is "eighty-two thousand, seven hundred twenty-two".