23764 has 12 divisors (see below), whose sum is σ = 44884. Its totient is φ = 10944.

The previous prime is 23761. The next prime is 23767. The reversal of 23764 is 46732.

23764 = T₁₀₇ + T₁₀₈ + ... + T₁₁₀.

It is an interprime number because it is at equal distance from previous prime (23761) and next prime (23767).

It can be written as a sum of positive squares in 2 ways, for example, as 12100 + 11664 = 110^2 + 108^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2⁷ + 3⁹ + 7⁴ + 6⁴ + 4⁴ .

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177 + ... + 280.

2²³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

23764 is a deficient number, since it is larger than the sum of its proper divisors (21120).

23764 is a wasteful number, since it uses less digits than its factorization.

23764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 472 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 23764 is about 154.1557653803. The cubic root of 23764 is about 28.7501323245.

It can be divided in two parts, 23 and 764, that added together give a palindrome (787).

The spelling of 23764 in words is "twenty-three thousand, seven hundred sixty-four".