85382257 has 16 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 79062480.

The previous prime is 85382179. The next prime is 85382281. The reversal of 85382257 is 75228358.

It is a cyclic number.

It is not a de Polignac number, because 85382257 - 2¹⁵ = 85349489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85382287) 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 15 ways as a sum of consecutive naturals, for example, 225094 + ... + 225472.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2^85382257 is an apocalyptic number.

It is an amenable number.

85382257 is a deficient number, since it is larger than the sum of its proper divisors (6547343).

85382257 is a wasteful number, since it uses less digits than its factorization.

85382257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636.

The product of its digits is 134400, while the sum is 40.

The square root of 85382257 is about 9240.2519987282. The cubic root of 85382257 is about 440.3410871057.

The spelling of 85382257 in words is "eighty-five million, three hundred eighty-two thousand, two hundred fifty-seven".