85782625 has 24 divisors (see below), whose sum is σ = 113047272. Its totient is φ = 64980000.

The previous prime is 85782589. The next prime is 85782659. The reversal of 85782625 is 52628758.

It can be written as a sum of positive squares in 4 ways, for example, as 16842816 + 68939809 = 4104^2 + 8303^2 .

It is not a de Polignac number, because 85782625 - 2⁷ = 85782497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44175 + ... + 46075.

It is an arithmetic number, because the mean of its divisors is an integer number (4710303).

Almost surely, 2^85782625 is an apocalyptic number.

It is an amenable number.

85782625 is a deficient number, since it is larger than the sum of its proper divisors (27264647).

85782625 is a wasteful number, since it uses less digits than its factorization.

85782625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1925 counting only the distinct ones).

The product of its digits is 268800, while the sum is 43.

The square root of 85782625 is about 9261.8910056208. The cubic root of 85782625 is about 441.0282854392.

The spelling of 85782625 in words is "eighty-five million, seven hundred eighty-two thousand, six hundred twenty-five".