85093057 has 12 divisors (see below), whose sum is σ = 99137136. Its totient is φ = 72825480.

The previous prime is 85093051. The next prime is 85093067. The reversal of 85093057 is 75039058.

It is not a de Polignac number, because 85093057 - 2⁷ = 85092929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85093051) 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 11 ways as a sum of consecutive naturals, for example, 56638 + ... + 58120.

It is an arithmetic number, because the mean of its divisors is an integer number (8261428).

Almost surely, 2^85093057 is an apocalyptic number.

It is an amenable number.

85093057 is a deficient number, since it is larger than the sum of its proper divisors (14044079).

85093057 is a wasteful number, since it uses less digits than its factorization.

85093057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 85093057 is about 9224.5898011782. The cubic root of 85093057 is about 439.8433619439.

The spelling of 85093057 in words is "eighty-five million, ninety-three thousand, fifty-seven".