85097232 has 120 divisors (see below), whose sum is σ = 268339968. Its totient is φ = 24940800.

The previous prime is 85097231. The next prime is 85097317. The reversal of 85097232 is 23279058.

It is a happy number.

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 (85097231) 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 23 ways as a sum of consecutive naturals, for example, 48238 + ... + 49970.

Almost surely, 2^85097232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85097232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134169984).

85097232 is an abundant number, since it is smaller than the sum of its proper divisors (183242736).

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

85097232 is a wasteful number, since it uses less digits than its factorization.

85097232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85097232 is about 9224.8160957279. The cubic root of 85097232 is about 439.8505553079.

The spelling of 85097232 in words is "eighty-five million, ninety-seven thousand, two hundred thirty-two".