13735995 has 64 divisors (see below), whose sum is σ = 28062720. Its totient is φ = 5580288.

The previous prime is 13735961. The next prime is 13735999. The reversal of 13735995 is 59953731.

It is a happy number.

13735995 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13735995 - 2⁷ = 13735867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13735999) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39412 + ... + 39758.

It is an arithmetic number, because the mean of its divisors is an integer number (438480).

Almost surely, 2^13735995 is an apocalyptic number.

13735995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13735995 is an abundant number, since it is smaller than the sum of its proper divisors (14326725).

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

13735995 is a wasteful number, since it uses less digits than its factorization.

13735995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404.

The product of its digits is 127575, while the sum is 42.

The square root of 13735995 is about 3706.2103286241. The cubic root of 13735995 is about 239.4896272401.

The spelling of 13735995 in words is "thirteen million, seven hundred thirty-five thousand, nine hundred ninety-five".