11735985 has 32 divisors (see below), whose sum is σ = 19440000. Its totient is φ = 6043136.

The previous prime is 11735959. The next prime is 11735987. The reversal of 11735985 is 58953711.

11735985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11735985 - 2⁹ = 11735473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11735987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78691 + ... + 78839.

It is an arithmetic number, because the mean of its divisors is an integer number (607500).

Almost surely, 2^11735985 is an apocalyptic number.

11735985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11735985 is a deficient number, since it is larger than the sum of its proper divisors (7704015).

11735985 is a wasteful number, since it uses less digits than its factorization.

11735985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305.

The product of its digits is 37800, while the sum is 39.

The square root of 11735985 is about 3425.7823923886. The cubic root of 11735985 is about 227.2513727087.

It can be divided in two parts, 11735 and 985, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 11735985 in words is "eleven million, seven hundred thirty-five thousand, nine hundred eighty-five".