85566357 has 12 divisors (see below), whose sum is σ = 124238764. Its totient is φ = 56747520.

The previous prime is 85566337. The next prime is 85566373. The reversal of 85566357 is 75366558.

85566357 is a `hidden beast` number, since 8 + 5 + 5 + 6 + 635 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22982436 + 62583921 = 4794^2 + 7911^2 .

It is not a de Polignac number, because 85566357 - 2¹² = 85562261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85566307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22894 + ... + 26367.

Almost surely, 2^85566357 is an apocalyptic number.

It is an amenable number.

85566357 is a deficient number, since it is larger than the sum of its proper divisors (38672407).

85566357 is a wasteful number, since it uses less digits than its factorization.

85566357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49460 (or 49457 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 85566357 is about 9250.2084841370. The cubic root of 85566357 is about 440.6573456261.

The spelling of 85566357 in words is "eighty-five million, five hundred sixty-six thousand, three hundred fifty-seven".