23667 has 16 divisors (see below), whose sum is σ = 38400. Its totient is φ = 12936.

The previous prime is 23663. The next prime is 23669. The reversal of 23667 is 76632.

It is not a de Polignac number, because 23667 - 2² = 23663 is a prime.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (23663) 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, 1018 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (2400).

2²³⁶⁶⁷ is an apocalyptic number.

23667 is a deficient number, since it is larger than the sum of its proper divisors (14733).

23667 is an equidigital number, since it uses as much as digits as its factorization.

23667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 33 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 23667 is about 153.8408268309. The cubic root of 23667 is about 28.7109615079.

Subtracting from 23667 its product of digits (1512), we obtain a triangular number (22155 = T₂₁₀).

It can be divided in two parts, 236 and 67, that added together give a palindrome (303).

The spelling of 23667 in words is "twenty-three thousand, six hundred sixty-seven".