23967 has 6 divisors (see below), whose sum is σ = 34632. Its totient is φ = 15972.

The previous prime is 23957. The next prime is 23971. The reversal of 23967 is 76932.

It is not a de Polignac number, because 23967 - 2¹⁰ = 22943 is a prime.

It is a d-powerful number, because it can be written as 2⁹ + 3⁸ + 9² + 6 + 7⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 23967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1323 + ... + 1340.

It is an arithmetic number, because the mean of its divisors is an integer number (5772).

2²³⁹⁶⁷ is an apocalyptic number.

23967 is a deficient number, since it is larger than the sum of its proper divisors (10665).

23967 is a wasteful number, since it uses less digits than its factorization.

23967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2666 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 23967 is about 154.8127901693. The cubic root of 23967 is about 28.8317647210.

It can be divided in two parts, 23 and 967, that added together give a triangular number (990 = T₄₄).

The spelling of 23967 in words is "twenty-three thousand, nine hundred sixty-seven".