13835297 has 18 divisors (see below), whose sum is σ = 17114022. Its totient is φ = 11149824.

The previous prime is 13835281. The next prime is 13835309. The reversal of 13835297 is 79253831.

It can be written as a sum of positive squares in 3 ways, for example, as 9186961 + 4648336 = 3031^2 + 2156^2 .

It is not a de Polignac number, because 13835297 - 2⁴ = 13835281 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13835297.

It is not an unprimeable number, because it can be changed into a prime (13835257) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13673 + ... + 14649.

It is an arithmetic number, because the mean of its divisors is an integer number (950779).

Almost surely, 2^13835297 is an apocalyptic number.

13835297 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13835297 is a deficient number, since it is larger than the sum of its proper divisors (3278725).

13835297 is an equidigital number, since it uses as much as digits as its factorization.

13835297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1001 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 13835297 is about 3719.5829067249. The cubic root of 13835297 is about 240.0653583570.

The spelling of 13835297 in words is "thirteen million, eight hundred thirty-five thousand, two hundred ninety-seven".