85774257 has 12 divisors (see below), whose sum is σ = 128168820. Its totient is φ = 55210848.

The previous prime is 85774237. The next prime is 85774261. The reversal of 85774257 is 75247758.

It can be written as a sum of positive squares in 2 ways, for example, as 63107136 + 22667121 = 7944^2 + 4761^2 .

It is not a de Polignac number, because 85774257 - 2⁸ = 85774001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85774217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164058 + ... + 164579.

It is an arithmetic number, because the mean of its divisors is an integer number (10680735).

Almost surely, 2^85774257 is an apocalyptic number.

85774257 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

85774257 is a deficient number, since it is larger than the sum of its proper divisors (42394563).

85774257 is a wasteful number, since it uses less digits than its factorization.

85774257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328672 (or 328669 counting only the distinct ones).

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

The square root of 85774257 is about 9261.4392510020. The cubic root of 85774257 is about 441.0139443660.

The spelling of 85774257 in words is "eighty-five million, seven hundred seventy-four thousand, two hundred fifty-seven".