13597000 has 32 divisors (see below), whose sum is σ = 31819320. Its totient is φ = 5438400.

The previous prime is 13596967. The next prime is 13597007. The reversal of 13597000 is 79531.

It can be written as a sum of positive squares in 4 ways, for example, as 1444804 + 12152196 = 1202^2 + 3486^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13597007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5799 + ... + 7798.

Almost surely, 2^13597000 is an apocalyptic number.

13597000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13597000 is an abundant number, since it is smaller than the sum of its proper divisors (18222320).

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

13597000 is a wasteful number, since it uses less digits than its factorization.

13597000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13618 (or 13604 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 13597000 is about 3687.4110158755. The cubic root of 13597000 is about 238.6790858714.

The spelling of 13597000 in words is "thirteen million, five hundred ninety-seven thousand".