85973625 has 24 divisors (see below), whose sum is σ = 154983816. Its totient is φ = 45852000.

The previous prime is 85973621. The next prime is 85973627. The reversal of 85973625 is 52637958.

It is a happy number.

85973625 is a `hidden beast` number, since 8 + 597 + 36 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20169081 + 65804544 = 4491^2 + 8112^2 .

It is not a de Polignac number, because 85973625 - 2² = 85973621 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (85973621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37086 + ... + 39335.

It is an arithmetic number, because the mean of its divisors is an integer number (6457659).

Almost surely, 2^85973625 is an apocalyptic number.

It is an amenable number.

85973625 is a deficient number, since it is larger than the sum of its proper divisors (69010191).

85973625 is a wasteful number, since it uses less digits than its factorization.

85973625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76442 (or 76429 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 85973625 is about 9272.1963417520. The cubic root of 85973625 is about 441.3553678394.

It can be divided in two parts, 85 and 973625, that added together give a triangular number (973710 = T₁₃₉₅).

The spelling of 85973625 in words is "eighty-five million, nine hundred seventy-three thousand, six hundred twenty-five".