85229824 has 27 divisors (see below), whose sum is σ = 170422077. Its totient is φ = 42541056.

The previous prime is 85229821. The next prime is 85229843. The reversal of 85229824 is 42892258.

It is a happy number.

The square root of 85229824 is 9232.

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

It can be written as a sum of positive squares in only one way, i.e., 84640000 + 589824 = 9200^2 + 768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85229821) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 147424 + ... + 148000.

Almost surely, 2^85229824 is an apocalyptic number.

85229824 is the 9232-nd square number.

It is an amenable number.

85229824 is a deficient number, since it is larger than the sum of its proper divisors (85192253).

85229824 is an frugal number, since it uses more digits than its factorization.

85229824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 579 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The cubic root of 85229824 is about 440.0788839283.

The spelling of 85229824 in words is "eighty-five million, two hundred twenty-nine thousand, eight hundred twenty-four".