85045284 has 81 divisors (see below), whose sum is σ = 226924243. Its totient is φ = 26854464.

The previous prime is 85045253. The next prime is 85045309. The reversal of 85045284 is 48254058.

The square root of 85045284 is 9222.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5336100 + 79709184 = 2310^2 + 8928^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1604602 + ... + 1604654.

Almost surely, 2^85045284 is an apocalyptic number.

85045284 is the 9222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85045284

85045284 is an abundant number, since it is smaller than the sum of its proper divisors (141878959).

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

85045284 is a wasteful number, since it uses less digits than its factorization.

85045284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The cubic root of 85045284 is about 439.7610341520.

Multiplying 85045284 by its sum of digits (36), we get a square (3061630224 = 55332²).

85045284 divided by its sum of digits (36) gives a square (2362369 = 1537²).

The spelling of 85045284 in words is "eighty-five million, forty-five thousand, two hundred eighty-four".