22952 has 16 divisors (see below), whose sum is σ = 45600. Its totient is φ = 10800.

The previous prime is 22943. The next prime is 22961. The reversal of 22952 is 25922.

It is an interprime number because it is at equal distance from previous prime (22943) and next prime (22961).

It is a d-powerful number, because it can be written as 2 + 2¹³ + 9⁴ + 5 + 2¹³ .

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

22952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (2850).

2²²⁹⁵² is an apocalyptic number.

It is a pronic number, being equal to 151×152.

It is an amenable number.

22952 is a deficient number, since it is larger than the sum of its proper divisors (22648).

22952 is a wasteful number, since it uses less digits than its factorization.

22952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 22952 is about 151.4991749152. The cubic root of 22952 is about 28.4188725977.

The spelling of 22952 in words is "twenty-two thousand, nine hundred fifty-two".