23953 has 4 divisors (see below), whose sum is σ = 25380. Its totient is φ = 22528.

The previous prime is 23929. The next prime is 23957. The reversal of 23953 is 35932.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7569 + 16384 = 87^2 + 128^2 .

It is a cyclic number.

It is not a de Polignac number, because 23953 - 2¹³ = 15761 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

23953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (23957) 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, 688 + ... + 721.

It is an arithmetic number, because the mean of its divisors is an integer number (6345).

2²³⁹⁵³ is an apocalyptic number.

It is an amenable number.

23953 is a deficient number, since it is larger than the sum of its proper divisors (1427).

23953 is a wasteful number, since it uses less digits than its factorization.

23953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426.

The product of its digits is 810, while the sum is 22.

The square root of 23953 is about 154.7675676620. The cubic root of 23953 is about 28.8261497320.

It can be divided in two parts, 239 and 53, that added together give a palindrome (292).

The spelling of 23953 in words is "twenty-three thousand, nine hundred fifty-three".