85789257 has 16 divisors (see below), whose sum is σ = 117393408. Its totient is φ = 55697040.

The previous prime is 85789247. The next prime is 85789309. The reversal of 85789257 is 75298758.

It is not a de Polignac number, because 85789257 - 2⁷ = 85789129 is a prime.

It is a super-2 number, since 2×85789257² = 14719593233224098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85789247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54828 + ... + 56370.

It is an arithmetic number, because the mean of its divisors is an integer number (7337088).

Almost surely, 2^85789257 is an apocalyptic number.

It is an amenable number.

85789257 is a deficient number, since it is larger than the sum of its proper divisors (31604151).

85789257 is a wasteful number, since it uses less digits than its factorization.

85789257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020.

The product of its digits is 1411200, while the sum is 51.

The square root of 85789257 is about 9262.2490249399. The cubic root of 85789257 is about 441.0396506941.

The spelling of 85789257 in words is "eighty-five million, seven hundred eighty-nine thousand, two hundred fifty-seven".