85757427 has 32 divisors (see below), whose sum is σ = 146012160. Its totient is φ = 48729600.

The previous prime is 85757411. The next prime is 85757429. The reversal of 85757427 is 72475758.

85757427 is a `hidden beast` number, since 8 + 57 + 574 + 27 = 666.

It is not a de Polignac number, because 85757427 - 2⁴ = 85757411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85757429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35302 + ... + 37652.

It is an arithmetic number, because the mean of its divisors is an integer number (4562880).

Almost surely, 2^85757427 is an apocalyptic number.

85757427 is a deficient number, since it is larger than the sum of its proper divisors (60254733).

85757427 is a wasteful number, since it uses less digits than its factorization.

85757427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2554 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 85757427 is about 9260.5306003490. The cubic root of 85757427 is about 440.9850982979.

The spelling of 85757427 in words is "eighty-five million, seven hundred fifty-seven thousand, four hundred twenty-seven".