23353 has 6 divisors (see below), whose sum is σ = 25802. Its totient is φ = 21120.

The previous prime is 23339. The next prime is 23357. The reversal of 23353 is 35332.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 5929 = 132^2 + 77^2 .

It is not a de Polignac number, because 23353 - 2⁵ = 23321 is a prime.

It is an Ulam number.

It is a Duffinian number.

23353 is a lucky number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (23357) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25 + ... + 217.

2²³³⁵³ is an apocalyptic number.

It is an amenable number.

23353 is a deficient number, since it is larger than the sum of its proper divisors (2449).

23353 is a wasteful number, since it uses less digits than its factorization.

23353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its digits is 270, while the sum is 16.

The square root of 23353 is about 152.8168838839. The cubic root of 23353 is about 28.5834223455.

Adding to 23353 its reverse (35332), we get a palindrome (58685).

The spelling of 23353 in words is "twenty-three thousand, three hundred fifty-three".