85101975 has 144 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 37195200.

The previous prime is 85101967. The next prime is 85102009. The reversal of 85101975 is 57910158.

It is not a de Polignac number, because 85101975 - 2³ = 85101967 is a prime.

It is a super-2 number, since 2×85101975² = 14484692297801250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1025284 + ... + 1025366.

It is an arithmetic number, because the mean of its divisors is an integer number (1319360).

Almost surely, 2^85101975 is an apocalyptic number.

85101975 is an abundant number, since it is smaller than the sum of its proper divisors (104885865).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85101975 is a wasteful number, since it uses less digits than its factorization.

85101975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The square root of 85101975 is about 9225.0731704415. The cubic root of 85101975 is about 439.8587270286.

The spelling of 85101975 in words is "eighty-five million, one hundred one thousand, nine hundred seventy-five".