85665312 has 72 divisors (see below), whose sum is σ = 257955516. Its totient is φ = 26873856.

The previous prime is 85665311. The next prime is 85665337. The reversal of 85665312 is 21356658.

It can be written as a sum of positive squares in 2 ways, for example, as 81649296 + 4016016 = 9036^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85665311) 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, 3853 + ... + 13644.

Almost surely, 2^85665312 is an apocalyptic number.

It is an amenable number.

85665312 is an abundant number, since it is smaller than the sum of its proper divisors (172290204).

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

85665312 is a wasteful number, since it uses less digits than its factorization.

85665312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17530 (or 17519 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 85665312 is about 9255.5557369614. Note that the first 3 decimals coincide. The cubic root of 85665312 is about 440.8271493144.

The spelling of 85665312 in words is "eighty-five million, six hundred sixty-five thousand, three hundred twelve".