23761 has 2 divisors, whose sum is σ = 23762. Its totient is φ = 23760.

The previous prime is 23753. The next prime is 23767. The reversal of 23761 is 16732.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20736 + 3025 = 144^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 23761 - 2³ = 23753 is a prime.

It is not a weakly prime, because it can be changed into another prime (23767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11880 + 11881.

It is an arithmetic number, because the mean of its divisors is an integer number (11881).

2²³⁷⁶¹ is an apocalyptic number.

It is an amenable number.

23761 is a deficient number, since it is larger than the sum of its proper divisors (1).

23761 is an equidigital number, since it uses as much as digits as its factorization.

23761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 252, while the sum is 19.

The square root of 23761 is about 154.1460346555. The cubic root of 23761 is about 28.7489224549.

It can be divided in two parts, 23 and 761, that added together give a square (784 = 28²).

The spelling of 23761 in words is "twenty-three thousand, seven hundred sixty-one".