11507985 has 12 divisors (see below), whose sum is σ = 19947252. Its totient is φ = 6137568.

The previous prime is 11507959. The next prime is 11507989. The reversal of 11507985 is 58970511.

11507985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5919489 + 5588496 = 2433^2 + 2364^2 .

It is not a de Polignac number, because 11507985 - 2⁷ = 11507857 is a prime.

It is a super-4 number, since 4×11507985⁴ (a number of 29 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11507989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127822 + ... + 127911.

It is an arithmetic number, because the mean of its divisors is an integer number (1662271).

Almost surely, 2^11507985 is an apocalyptic number.

11507985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11507985 is a deficient number, since it is larger than the sum of its proper divisors (8439267).

11507985 is a wasteful number, since it uses less digits than its factorization.

11507985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255744 (or 255741 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The square root of 11507985 is about 3392.3421112854. The cubic root of 11507985 is about 225.7701019248.

The spelling of 11507985 in words is "eleven million, five hundred seven thousand, nine hundred eighty-five".