85537300 has 18 divisors (see below), whose sum is σ = 185616158. Its totient is φ = 34214880.

The previous prime is 85537289. The next prime is 85537301. The reversal of 85537300 is 373558.

It can be written as a sum of positive squares in 3 ways, for example, as 6895876 + 78641424 = 2626^2 + 8868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85537301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 427587 + ... + 427786.

Almost surely, 2^85537300 is an apocalyptic number.

It is an amenable number.

85537300 is an abundant number, since it is smaller than the sum of its proper divisors (100078858).

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

85537300 is a wasteful number, since it uses less digits than its factorization.

85537300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855387 (or 855380 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 85537300 is about 9248.6377375265. The cubic root of 85537300 is about 440.6074598588.

The spelling of 85537300 in words is "eighty-five million, five hundred thirty-seven thousand, three hundred".