85734125 has 16 divisors (see below), whose sum is σ = 109023408. Its totient is φ = 67288000.

The previous prime is 85734119. The next prime is 85734149. The reversal of 85734125 is 52143758.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10426441 + 75307684 = 3229^2 + 8678^2 .

It is not a de Polignac number, because 85734125 - 2¹⁴ = 85717741 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155 + ... + 13095.

It is an arithmetic number, because the mean of its divisors is an integer number (6813963).

Almost surely, 2^85734125 is an apocalyptic number.

It is an amenable number.

85734125 is a deficient number, since it is larger than the sum of its proper divisors (23289283).

85734125 is a wasteful number, since it uses less digits than its factorization.

85734125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13009 (or 12999 counting only the distinct ones).

The product of its digits is 33600, while the sum is 35.

The square root of 85734125 is about 9259.2723796203. The cubic root of 85734125 is about 440.9451532032.

The spelling of 85734125 in words is "eighty-five million, seven hundred thirty-four thousand, one hundred twenty-five".