23537 has 2 divisors, whose sum is σ = 23538. Its totient is φ = 23536.

The previous prime is 23531. The next prime is 23539. The reversal of 23537 is 73532.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18496 + 5041 = 136^2 + 71^2 .

It is a cyclic number.

It is not a de Polignac number, because 23537 - 2⁶ = 23473 is a prime.

Together with 23539, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23537.

It is not a weakly prime, because it can be changed into another prime (23531) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11768 + 11769.

It is an arithmetic number, because the mean of its divisors is an integer number (11769).

2²³⁵³⁷ is an apocalyptic number.

It is an amenable number.

23537 is a deficient number, since it is larger than the sum of its proper divisors (1).

23537 is an equidigital number, since it uses as much as digits as its factorization.

23537 is an evil number, because the sum of its binary digits is even.

The product of its digits is 630, while the sum is 20.

The square root of 23537 is about 153.4177303965. The cubic root of 23537 is about 28.6582963363.

It can be divided in two parts, 2353 and 7, that multiplied together give a triangular number (16471 = T₁₈₁).

The spelling of 23537 in words is "twenty-three thousand, five hundred thirty-seven".