22580 has 12 divisors (see below), whose sum is σ = 47460. Its totient is φ = 9024.

The previous prime is 22573. The next prime is 22613. The reversal of 22580 is 8522.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 17956 = 68^2 + 134^2 .

It is a plaindrome in base 7.

It is a congruent number.

It is an unprimeable number.

22580 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, 545 + ... + 584.

It is an arithmetic number, because the mean of its divisors is an integer number (3955).

2²²⁵⁸⁰ is an apocalyptic number.

22580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22580 is an abundant number, since it is smaller than the sum of its proper divisors (24880).

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 (23730).

22580 is a wasteful number, since it uses less digits than its factorization.

22580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 22580 is about 150.2664300501. The cubic root of 22580 is about 28.2645003482.

The spelling of 22580 in words is "twenty-two thousand, five hundred eighty".