13085226 has 80 divisors (see below), whose sum is σ = 36590400. Its totient is φ = 3395520.

The previous prime is 13085209. The next prime is 13085227. The reversal of 13085226 is 62258031.

13085226 is a `hidden beast` number, since 130 + 8 + 522 + 6 = 666.

13085226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13085226.

It is not an unprimeable number, because it can be changed into a prime (13085227) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11950 + ... + 12998.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 2^13085226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13085226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200).

13085226 is an abundant number, since it is smaller than the sum of its proper divisors (23505174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13085226 is a wasteful number, since it uses less digits than its factorization.

13085226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13085226 is about 3617.3506880036. The cubic root of 13085226 is about 235.6461829230.

The spelling of 13085226 in words is "thirteen million, eighty-five thousand, two hundred twenty-six".