85035700 has 36 divisors (see below), whose sum is σ = 195385932. Its totient is φ = 32012800.

The previous prime is 85035689. The next prime is 85035703. The reversal of 85035700 is 753058.

It can be written as a sum of positive squares in 6 ways, for example, as 910116 + 84125584 = 954^2 + 9172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85035703) 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, 23311 + ... + 26710.

It is an arithmetic number, because the mean of its divisors is an integer number (5427387).

Almost surely, 2^85035700 is an apocalyptic number.

It is an amenable number.

85035700 is an abundant number, since it is smaller than the sum of its proper divisors (110350232).

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

85035700 is a wasteful number, since it uses less digits than its factorization.

85035700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50052 (or 50045 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 85035700 is about 9221.4803583806. The cubic root of 85035700 is about 439.7445142155.

Adding to 85035700 its reverse (753058), we get a palindrome (85788758).

The spelling of 85035700 in words is "eighty-five million, thirty-five thousand, seven hundred".