85257100 has 36 divisors (see below), whose sum is σ = 191394000. Its totient is φ = 32925760.

The previous prime is 85257097. The next prime is 85257101. The reversal of 85257100 is 175258.

It is not an unprimeable number, because it can be changed into a prime (85257101) 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 11 ways as a sum of consecutive naturals, for example, 11800 + ... + 17599.

It is an arithmetic number, because the mean of its divisors is an integer number (5316500).

Almost surely, 2^85257100 is an apocalyptic number.

It is an amenable number.

85257100 is an abundant number, since it is smaller than the sum of its proper divisors (106136900).

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

85257100 is a wasteful number, since it uses less digits than its factorization.

85257100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29442 (or 29435 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 85257100 is about 9233.4771348610. The cubic root of 85257100 is about 440.1258248965.

It can be divided in two parts, 8525 and 7100, that added together give a 6-th power (15625 = 5⁶).

The spelling of 85257100 in words is "eighty-five million, two hundred fifty-seven thousand, one hundred".