85100877 has 12 divisors (see below), whose sum is σ = 127162620. Its totient is φ = 54777408.

The previous prime is 85100863. The next prime is 85100893. The reversal of 85100877 is 77800158.

It can be written as a sum of positive squares in 2 ways, for example, as 72948681 + 12152196 = 8541^2 + 3486^2 .

It is not a de Polignac number, because 85100877 - 2⁷ = 85100749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85100857) 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, 162768 + ... + 163289.

It is an arithmetic number, because the mean of its divisors is an integer number (10596885).

Almost surely, 2^85100877 is an apocalyptic number.

85100877 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

85100877 is a deficient number, since it is larger than the sum of its proper divisors (42061743).

85100877 is a wasteful number, since it uses less digits than its factorization.

85100877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326092 (or 326089 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 85100877 is about 9225.0136585265. The cubic root of 85100877 is about 439.8568353100.

The spelling of 85100877 in words is "eighty-five million, one hundred thousand, eight hundred seventy-seven".