13565000 has 40 divisors (see below), whose sum is σ = 31794510. Its totient is φ = 5424000.

The previous prime is 13564981. The next prime is 13565003. The reversal of 13565000 is 56531.

It can be written as a sum of positive squares in 5 ways, for example, as 2502724 + 11062276 = 1582^2 + 3326^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13565003) 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 9 ways as a sum of consecutive naturals, for example, 3644 + ... + 6356.

Almost surely, 2^13565000 is an apocalyptic number.

13565000 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 13565000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897255).

13565000 is an abundant number, since it is smaller than the sum of its proper divisors (18229510).

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

13565000 is an equidigital number, since it uses as much as digits as its factorization.

13565000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 13565000 is about 3683.0693721406. The cubic root of 13565000 is about 238.4916982051.

The spelling of 13565000 in words is "thirteen million, five hundred sixty-five thousand".