23613 has 8 divisors (see below), whose sum is σ = 33408. Its totient is φ = 14784.

The previous prime is 23609. The next prime is 23623. The reversal of 23613 is 31632.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 23613 - 2² = 23609 is a prime.

23613 is a lucky number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 23592 and 23601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (4176).

2²³⁶¹³ is an apocalyptic number.

It is an amenable number.

23613 is a deficient number, since it is larger than the sum of its proper divisors (9795).

23613 is a wasteful number, since it uses less digits than its factorization.

23613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483.

The product of its digits is 108, while the sum is 15.

The square root of 23613 is about 153.6652205283. The cubic root of 23613 is about 28.6891086809.

It can be divided in two parts, 23 and 613, that added together give a palindrome (636).

The spelling of 23613 in words is "twenty-three thousand, six hundred thirteen".