13797135 has 80 divisors (see below), whose sum is σ = 28575360. Its totient is φ = 6298560.

The previous prime is 13797107. The next prime is 13797137. The reversal of 13797135 is 53179731.

13797135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13797135 - 2⁵ = 13797103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13797135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13797137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84564 + ... + 84726.

It is an arithmetic number, because the mean of its divisors is an integer number (357192).

Almost surely, 2^13797135 is an apocalyptic number.

13797135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13797135 is an abundant number, since it is smaller than the sum of its proper divisors (14778225).

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

13797135 is a wasteful number, since it uses less digits than its factorization.

13797135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its digits is 19845, while the sum is 36.

The square root of 13797135 is about 3714.4494881476. The cubic root of 13797135 is about 239.8444304306.

The spelling of 13797135 in words is "thirteen million, seven hundred ninety-seven thousand, one hundred thirty-five".