23205313 has 8 divisors (see below), whose sum is σ = 23717888. Its totient is φ = 22698144.

The previous prime is 23205293. The next prime is 23205319. The reversal of 23205313 is 31350232.

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

It is a cyclic number.

It is not a de Polignac number, because 23205313 - 2¹³ = 23197121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23205319) 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, 8020 + ... + 10522.

It is an arithmetic number, because the mean of its divisors is an integer number (2964736).

Almost surely, 2^23205313 is an apocalyptic number.

It is an amenable number.

23205313 is a deficient number, since it is larger than the sum of its proper divisors (512575).

23205313 is a wasteful number, since it uses less digits than its factorization.

23205313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703.

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 23205313 is about 4817.1893257376. The cubic root of 23205313 is about 285.2303995117.

Adding to 23205313 its reverse (31350232), we get a palindrome (54555545).

The spelling of 23205313 in words is "twenty-three million, two hundred five thousand, three hundred thirteen".