13415985 has 24 divisors (see below), whose sum is σ = 25369344. Its totient is φ = 6504480.

The previous prime is 13415971. The next prime is 13415993. The reversal of 13415985 is 58951431.

13415985 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13415985 - 2⁵ = 13415953 is a prime.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13057 + ... + 14046.

It is an arithmetic number, because the mean of its divisors is an integer number (1057056).

Almost surely, 2^13415985 is an apocalyptic number.

13415985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13415985 is a deficient number, since it is larger than the sum of its proper divisors (11953359).

13415985 is a wasteful number, since it uses less digits than its factorization.

13415985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27125 (or 27122 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 13415985 is about 3662.7837774021. The cubic root of 13415985 is about 237.6151832796.

It can be divided in two parts, 13415 and 985, that added together give a square (14400 = 120²).

The spelling of 13415985 in words is "thirteen million, four hundred fifteen thousand, nine hundred eighty-five".