8312900 has 36 divisors (see below), whose sum is σ = 18246228. Its totient is φ = 3287040.

The previous prime is 8312851. The next prime is 8312903. The reversal of 8312900 is 92138.

It can be written as a sum of positive squares in 6 ways, for example, as 64516 + 8248384 = 254^2 + 2872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8312903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9272 + ... + 10128.

Almost surely, 2^8312900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8312900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123114).

8312900 is an abundant number, since it is smaller than the sum of its proper divisors (9933328).

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

8312900 is a wasteful number, since it uses less digits than its factorization.

8312900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 8312900 is about 2883.2100166308. The cubic root of 8312900 is about 202.5742246827.

The spelling of 8312900 in words is "eight million, three hundred twelve thousand, nine hundred".