13977585 has 24 divisors (see below), whose sum is σ = 24321024. Its totient is φ = 7426080.

The previous prime is 13977581. The next prime is 13977589. The reversal of 13977585 is 58577931.

It is an interprime number because it is at equal distance from previous prime (13977581) and next prime (13977589).

It is not a de Polignac number, because 13977585 - 2² = 13977581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13977585.

It is not an unprimeable number, because it can be changed into a prime (13977581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16830 + ... + 17640.

It is an arithmetic number, because the mean of its divisors is an integer number (1013376).

Almost surely, 2^13977585 is an apocalyptic number.

13977585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13977585 is a deficient number, since it is larger than the sum of its proper divisors (10343439).

13977585 is a wasteful number, since it uses less digits than its factorization.

13977585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1202 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 13977585 is about 3738.6608565100. The cubic root of 13977585 is about 240.8855307121.

The spelling of 13977585 in words is "thirteen million, nine hundred seventy-seven thousand, five hundred eighty-five".