13165000 has 40 divisors (see below), whose sum is σ = 30857310. Its totient is φ = 5264000.

The previous prime is 13164997. The next prime is 13165001. The reversal of 13165000 is 56131.

It can be written as a sum of positive squares in 5 ways, for example, as 75076 + 13089924 = 274^2 + 3618^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13165001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3684 + ... + 6316.

Almost surely, 2^13165000 is an apocalyptic number.

13165000 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 13165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15428655).

13165000 is an abundant number, since it is smaller than the sum of its proper divisors (17692310).

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

13165000 is an equidigital number, since it uses as much as digits as its factorization.

13165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2640 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 13165000 is about 3628.3605113053. The cubic root of 13165000 is about 236.1240848952.

The spelling of 13165000 in words is "thirteen million, one hundred sixty-five thousand".