85988529 has 27 divisors (see below), whose sum is σ = 137011147. Its totient is φ = 51928800.

The previous prime is 85988527. The next prime is 85988543. The reversal of 85988529 is 92588958.

The square root of 85988529 is 9273.

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., 58110129 + 27878400 = 7623^2 + 5280^2 .

It is not a de Polignac number, because 85988529 - 2¹ = 85988527 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85988527) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 305869 + ... + 306149.

Almost surely, 2^85988529 is an apocalyptic number.

85988529 is the 9273-rd square number.

85988529 is the 4637-th centered octagonal number.

It is an amenable number.

85988529 is a deficient number, since it is larger than the sum of its proper divisors (51022618).

85988529 is a wasteful number, since it uses less digits than its factorization.

85988529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 295 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The cubic root of 85988529 is about 441.3808701580.

Multiplying 85988529 by its product of digits (2073600), we get a square (178305813734400 = 13353120²).

The spelling of 85988529 in words is "eighty-five million, nine hundred eighty-eight thousand, five hundred twenty-nine".