84005292 has 48 divisors (see below), whose sum is σ = 233759232. Its totient is φ = 22957440.

The previous prime is 84005291. The next prime is 84005297. The reversal of 84005292 is 29250048.

84005292 is a modest number, since divided by 5292 gives 84 as remainder.

It is not an unprimeable number, because it can be changed into a prime (84005291) 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 15 ways as a sum of consecutive naturals, for example, 19809 + ... + 23672.

It is an arithmetic number, because the mean of its divisors is an integer number (4869984).

Almost surely, 2^84005292 is an apocalyptic number.

It is an amenable number.

84005292 is an abundant number, since it is smaller than the sum of its proper divisors (149753940).

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

84005292 is a wasteful number, since it uses less digits than its factorization.

84005292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43518 (or 43516 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 84005292 is about 9165.4400876335. The cubic root of 84005292 is about 437.9611107859.

The spelling of 84005292 in words is "eighty-four million, five thousand, two hundred ninety-two".