22971 has 16 divisors (see below), whose sum is σ = 35840. Its totient is φ = 12960.

The previous prime is 22963. The next prime is 22973. The reversal of 22971 is 17922.

22971 = T₁₄ + T₁₅ + ... + T₅₁.

It is a happy number.

It is not a de Polignac number, because 22971 - 2³ = 22963 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (22973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726 + ... + 756.

It is an arithmetic number, because the mean of its divisors is an integer number (2240).

2²²⁹⁷¹ is an apocalyptic number.

22971 is a deficient number, since it is larger than the sum of its proper divisors (12869).

22971 is a wasteful number, since it uses less digits than its factorization.

22971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66.

The product of its digits is 252, while the sum is 21.

The square root of 22971 is about 151.5618685554. The cubic root of 22971 is about 28.4267122871.

It can be divided in two parts, 229 and 71, that added together give a triangular number (300 = T₂₄).

The spelling of 22971 in words is "twenty-two thousand, nine hundred seventy-one".