85137529 has 3 divisors (see below), whose sum is σ = 85146757. Its totient is φ = 85128302.

The previous prime is 85137527. The next prime is 85137541. The reversal of 85137529 is 92573158.

The square root of 85137529 is 9227.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 92573158 = 2 ⋅46286579.

It is not a de Polignac number, because 85137529 - 2¹ = 85137527 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85137491 and 85137500.

It is not an unprimeable number, because it can be changed into a prime (85137527) 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, 4614 + ... + 13840.

Almost surely, 2^85137529 is an apocalyptic number.

85137529 is the 9227-th square number.

85137529 is the 4614-th centered octagonal number.

It is an amenable number.

85137529 is a deficient number, since it is larger than the sum of its proper divisors (9228).

85137529 is an frugal number, since it uses more digits than its factorization.

85137529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18454 (or 9227 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The cubic root of 85137529 is about 439.9199733934.

The spelling of 85137529 in words is "eighty-five million, one hundred thirty-seven thousand, five hundred twenty-nine".