85688325 has 18 divisors (see below), whose sum is σ = 153477714. Its totient is φ = 45700320.

The previous prime is 85688321. The next prime is 85688327. The reversal of 85688325 is 52388658.

It is a happy number.

85688325 is a `hidden beast` number, since 8 + 568 + 83 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 199809 + 85488516 = 447^2 + 9246^2 .

It is not a de Polignac number, because 85688325 - 2² = 85688321 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85688321) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 190194 + ... + 190643.

Almost surely, 2^85688325 is an apocalyptic number.

It is an amenable number.

85688325 is a deficient number, since it is larger than the sum of its proper divisors (67789389).

85688325 is a wasteful number, since it uses less digits than its factorization.

85688325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380853 (or 380845 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 85688325 is about 9256.7988527352. The cubic root of 85688325 is about 440.8666201599.

The spelling of 85688325 in words is "eighty-five million, six hundred eighty-eight thousand, three hundred twenty-five".