85492100 has 18 divisors (see below), whose sum is σ = 185518074. Its totient is φ = 34196800.

The previous prime is 85492073. The next prime is 85492103. The reversal of 85492100 is 129458.

It can be written as a sum of positive squares in 3 ways, for example, as 3444736 + 82047364 = 1856^2 + 9058^2 .

It is not an unprimeable number, because it can be changed into a prime (85492103) 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, 427361 + ... + 427560.

Almost surely, 2^85492100 is an apocalyptic number.

It is an amenable number.

85492100 is an abundant number, since it is smaller than the sum of its proper divisors (100025974).

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

85492100 is a wasteful number, since it uses less digits than its factorization.

85492100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854935 (or 854928 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 85492100 is about 9246.1938115097. The cubic root of 85492100 is about 440.5298369342.

The spelling of 85492100 in words is "eighty-five million, four hundred ninety-two thousand, one hundred".