85975605 has 24 divisors (see below), whose sum is σ = 153055032. Its totient is φ = 44613504.

The previous prime is 85975559. The next prime is 85975651. The reversal of 85975605 is 50657958.

85975605 is a `hidden beast` number, since 8 + 597 + 56 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (85975559) and next prime (85975651).

It can be written as a sum of positive squares in 4 ways, for example, as 16719921 + 69255684 = 4089^2 + 8322^2 .

It is not a de Polignac number, because 85975605 - 2¹¹ = 85973557 is a prime.

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

It is a congruent 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, 24154 + ... + 27483.

It is an arithmetic number, because the mean of its divisors is an integer number (6377293).

Almost surely, 2^85975605 is an apocalyptic number.

It is an amenable number.

85975605 is a deficient number, since it is larger than the sum of its proper divisors (67079427).

85975605 is a wasteful number, since it uses less digits than its factorization.

85975605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51685 (or 51682 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 85975605 is about 9272.3031119566. The cubic root of 85975605 is about 441.3587559984.

The spelling of 85975605 in words is "eighty-five million, nine hundred seventy-five thousand, six hundred five".