10815985 has 16 divisors (see below), whose sum is σ = 13582800. Its totient is φ = 8257536.

The previous prime is 10815983. The next prime is 10815991. The reversal of 10815985 is 58951801.

It can be written as a sum of positive squares in 8 ways, for example, as 207936 + 10608049 = 456^2 + 3257^2 .

It is a cyclic number.

It is not a de Polignac number, because 10815985 - 2¹ = 10815983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10815983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13681 + ... + 14449.

It is an arithmetic number, because the mean of its divisors is an integer number (848925).

Almost surely, 2^10815985 is an apocalyptic number.

It is an amenable number.

10815985 is a deficient number, since it is larger than the sum of its proper divisors (2766815).

10815985 is an equidigital number, since it uses as much as digits as its factorization.

10815985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900.

The product of its (nonzero) digits is 14400, while the sum is 37.

The square root of 10815985 is about 3288.7664860856. The cubic root of 10815985 is about 221.1508903138.

The spelling of 10815985 in words is "ten million, eight hundred fifteen thousand, nine hundred eighty-five".