85182100 has 18 divisors (see below), whose sum is σ = 184845374. Its totient is φ = 34072800.

The previous prime is 85182091. The next prime is 85182101. The reversal of 85182100 is 128158.

It can be written as a sum of positive squares in 3 ways, for example, as 1971216 + 83210884 = 1404^2 + 9122^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85182101) 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, 425811 + ... + 426010.

Almost surely, 2^85182100 is an apocalyptic number.

It is an amenable number.

85182100 is an abundant number, since it is smaller than the sum of its proper divisors (99663274).

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

85182100 is a wasteful number, since it uses less digits than its factorization.

85182100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851835 (or 851828 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 85182100 is about 9229.4149327029. The cubic root of 85182100 is about 439.9967286258.

The spelling of 85182100 in words is "eighty-five million, one hundred eighty-two thousand, one hundred".