23313 has 8 divisors (see below), whose sum is σ = 32800. Its totient is φ = 14688.

The previous prime is 23311. The next prime is 23321. The reversal of 23313 is 31332.

It is a happy number.

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

It is not a de Polignac number, because 23313 - 2¹ = 23311 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (23311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (4100).

2²³³¹³ is an apocalyptic number.

It is an amenable number.

23313 is a deficient number, since it is larger than the sum of its proper divisors (9487).

23313 is a wasteful number, since it uses less digits than its factorization.

23313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431.

The product of its digits is 54, while the sum is 12.

The square root of 23313 is about 152.6859522026. The cubic root of 23313 is about 28.5670933899.

Adding to 23313 its reverse (31332), we get a palindrome (54645).

The spelling of 23313 in words is "twenty-three thousand, three hundred thirteen".