23961 has 12 divisors (see below), whose sum is σ = 37392. Its totient is φ = 13608.

The previous prime is 23957. The next prime is 23971. The reversal of 23961 is 16932.

23961 is nontrivially palindromic in base 5.

It is not a de Polignac number, because 23961 - 2² = 23957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

23961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (23911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66 + ... + 228.

It is an arithmetic number, because the mean of its divisors is an integer number (3116).

2²³⁹⁶¹ is an apocalyptic number.

23961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23961 is a deficient number, since it is larger than the sum of its proper divisors (13431).

23961 is a wasteful number, since it uses less digits than its factorization.

23961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 23961 is about 154.7934107125. The cubic root of 23961 is about 28.8293585650.

It can be divided in two parts, 239 and 61, that added together give a triangular number (300 = T₂₄).

The spelling of 23961 in words is "twenty-three thousand, nine hundred sixty-one".