84456100 has 27 divisors (see below), whose sum is σ = 183469377. Its totient is φ = 33745680.

The previous prime is 84456079. The next prime is 84456103. The reversal of 84456100 is 165448.

The square root of 84456100 is 9190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30404196 + 54051904 = 5514^2 + 7352^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84456103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91441 + ... + 92359.

Almost surely, 2^84456100 is an apocalyptic number.

84456100 is the 9190-th square number.

It is an amenable number.

84456100 is an abundant number, since it is smaller than the sum of its proper divisors (99013277).

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

84456100 is an equidigital number, since it uses as much as digits as its factorization.

84456100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The cubic root of 84456100 is about 438.7431418586.

The spelling of 84456100 in words is "eighty-four million, four hundred fifty-six thousand, one hundred".