23892 has 24 divisors (see below), whose sum is σ = 61152. Its totient is φ = 7200.

The previous prime is 23887. The next prime is 23893. The reversal of 23892 is 29832.

It is a d-powerful number, because it can be written as 2⁴ + 3⁹ + 8⁴ + 9² + 2⁴ .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23893) by changing a digit.

23892 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 7 ways as a sum of consecutive naturals, for example, 42 + ... + 222.

It is an arithmetic number, because the mean of its divisors is an integer number (2548).

2²³⁸⁹² is an apocalyptic number.

23892 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30576).

23892 is an abundant number, since it is smaller than the sum of its proper divisors (37260).

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

23892 is a wasteful number, since it uses less digits than its factorization.

23892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 23892 is about 154.5703723228. The cubic root of 23892 is about 28.8016588551.

The spelling of 23892 in words is "twenty-three thousand, eight hundred ninety-two".