13217985 has 96 divisors (see below), whose sum is σ = 27675648. Its totient is φ = 5987520.

The previous prime is 13217969. The next prime is 13218019. The reversal of 13217985 is 58971231.

It is not a de Polignac number, because 13217985 - 2⁴ = 13217969 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307374 + ... + 307416.

It is an arithmetic number, because the mean of its divisors is an integer number (288288).

Almost surely, 2^13217985 is an apocalyptic number.

13217985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13217985 is an abundant number, since it is smaller than the sum of its proper divisors (14457663).

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

13217985 is a wasteful number, since it uses less digits than its factorization.

13217985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 13217985 is about 3635.6546865730. The cubic root of 13217985 is about 236.4404360216.

The spelling of 13217985 in words is "thirteen million, two hundred seventeen thousand, nine hundred eighty-five".