84005352 has 24 divisors (see below), whose sum is σ = 227514690. Its totient is φ = 28001760.

The previous prime is 84005329. The next prime is 84005353. The reversal of 84005352 is 25350048.

It can be written as a sum of positive squares in only one way, i.e., 45887076 + 38118276 = 6774^2 + 6174^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (84005353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 583299 + ... + 583442.

Almost surely, 2^84005352 is an apocalyptic number.

It is an amenable number.

84005352 is an abundant number, since it is smaller than the sum of its proper divisors (143509338).

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

84005352 is a wasteful number, since it uses less digits than its factorization.

84005352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166753 (or 1166746 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 84005352 is about 9165.4433607982. The cubic root of 84005352 is about 437.9612150557.

The spelling of 84005352 in words is "eighty-four million, five thousand, three hundred fifty-two".