85155984 has 45 divisors (see below), whose sum is σ = 238628793. Its totient is φ = 28348416.

The previous prime is 85155979. The next prime is 85155989. The reversal of 85155984 is 48955158.

It is a happy number.

The square root of 85155984 is 9228.

It is a perfect power (a square), and thus also a powerful number.

85155984 is a `hidden beast` number, since 8 + 51 + 5 + 598 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (85155979) and next prime (85155989).

It can be written as a sum of positive squares in only one way, i.e., 33315984 + 51840000 = 5772^2 + 7200^2 .

It is a super-2 number, since 2×85155984² = 14503083222016512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85155989) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110352 + ... + 111120.

Almost surely, 2^85155984 is an apocalyptic number.

85155984 is the 9228-th square number.

It is an amenable number.

85155984 is an abundant number, since it is smaller than the sum of its proper divisors (153472809).

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

85155984 is an equidigital number, since it uses as much as digits as its factorization.

85155984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 774 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The cubic root of 85155984 is about 439.9517577963.

The spelling of 85155984 in words is "eighty-five million, one hundred fifty-five thousand, nine hundred eighty-four".