13285233 has 24 divisors (see below), whose sum is σ = 20791680. Its totient is φ = 8125920.

The previous prime is 13285231. The next prime is 13285243. The reversal of 13285233 is 33258231.

13285233 is a `hidden beast` number, since 132 + 8 + 523 + 3 = 666.

It is not a de Polignac number, because 13285233 - 2¹ = 13285231 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13285197 and 13285206.

It is not an unprimeable number, because it can be changed into a prime (13285231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31498 + ... + 31916.

It is an arithmetic number, because the mean of its divisors is an integer number (866320).

Almost surely, 2^13285233 is an apocalyptic number.

13285233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13285233 is a deficient number, since it is larger than the sum of its proper divisors (7506447).

13285233 is a wasteful number, since it uses less digits than its factorization.

13285233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 706 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 13285233 is about 3644.8913564056. The cubic root of 13285233 is about 236.8407304638.

It can be divided in two parts, 1328 and 5233, that added together give a 8-th power (6561 = 3⁸).

The spelling of 13285233 in words is "thirteen million, two hundred eighty-five thousand, two hundred thirty-three".