13289000 has 64 divisors (see below), whose sum is σ = 31646160. Its totient is φ = 5222400.

The previous prime is 13288973. The next prime is 13289039. The reversal of 13289000 is 98231.

It can be written as a sum of positive squares in 8 ways, for example, as 515524 + 12773476 = 718^2 + 3574^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96932 + ... + 97068.

Almost surely, 2^13289000 is an apocalyptic number.

13289000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13289000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823080).

13289000 is an abundant number, since it is smaller than the sum of its proper divisors (18357160).

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

13289000 is a wasteful number, since it uses less digits than its factorization.

13289000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 13289000 is about 3645.4080704360. The cubic root of 13289000 is about 236.8631135794.

The spelling of 13289000 in words is "thirteen million, two hundred eighty-nine thousand".