13395375 has 96 divisors (see below), whose sum is σ = 29165760. Its totient is φ = 6123600.

The previous prime is 13395373. The next prime is 13395383. The reversal of 13395375 is 57359331.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 13395375 - 2¹ = 13395373 is a prime.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (42525) is a multiple of the sum of its prime divisors (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13395373) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1913622 + ... + 1913628.

It is an arithmetic number, because the mean of its divisors is an integer number (303810).

Almost surely, 2^13395375 is an apocalyptic number.

13395375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13395375 is an abundant number, since it is smaller than the sum of its proper divisors (15770385).

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

13395375 is an frugal number, since it uses more digits than its factorization.

13395375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 15 counting only the distinct ones).

The product of its digits is 42525, while the sum is 36.

The square root of 13395375 is about 3659.9692621660. The cubic root of 13395375 is about 237.4934439557.

The spelling of 13395375 in words is "thirteen million, three hundred ninety-five thousand, three hundred seventy-five".