85144725 has 36 divisors (see below), whose sum is σ = 157774500. Its totient is φ = 43841280.

The previous prime is 85144723. The next prime is 85144747. The reversal of 85144725 is 52744158.

85144725 = 1183² + 1184² + ... + 1240².

85144725 is a nontrivial binomial coefficient, being equal to C(13050, 2).

It can be written as a sum of positive squares in 6 ways, for example, as 762129 + 84382596 = 873^2 + 9186^2 .

It is not a de Polignac number, because 85144725 - 2¹ = 85144723 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85144725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85144723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1 + ... + 13049.

It is an arithmetic number, because the mean of its divisors is an integer number (4382625).

Almost surely, 2^85144725 is an apocalyptic number.

85144725 is the 13049-th triangular number and also the 6525-th hexagonal number.

It is an amenable number.

85144725 is a deficient number, since it is larger than the sum of its proper divisors (72629775).

85144725 is a wasteful number, since it uses less digits than its factorization.

85144725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13094 (or 13086 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 85144725 is about 9227.3899343205. The cubic root of 85144725 is about 439.9323673595.

The spelling of 85144725 in words is "eighty-five million, one hundred forty-four thousand, seven hundred twenty-five".