13213827 has 16 divisors (see below), whose sum is σ = 21356160. Its totient is φ = 8008200.

The previous prime is 13213769. The next prime is 13213829. The reversal of 13213827 is 72831231.

It is not a de Polignac number, because 13213827 - 2¹⁰ = 13212803 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13213827.

It is not an unprimeable number, because it can be changed into a prime (13213829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21949 + ... + 22542.

It is an arithmetic number, because the mean of its divisors is an integer number (1334760).

Almost surely, 2^13213827 is an apocalyptic number.

13213827 is a deficient number, since it is larger than the sum of its proper divisors (8142333).

13213827 is a wasteful number, since it uses less digits than its factorization.

13213827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44511 (or 44505 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13213827 is about 3635.0828051091. The cubic root of 13213827 is about 236.4156409554.

The spelling of 13213827 in words is "thirteen million, two hundred thirteen thousand, eight hundred twenty-seven".