84084021 has 72 divisors (see below), whose sum is σ = 154132160. Its totient is φ = 44374176.

The previous prime is 84084001. The next prime is 84084031. The reversal of 84084021 is 12048048.

It is not a de Polignac number, because 84084021 - 2⁶ = 84083957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84084001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2899435 + ... + 2899463.

Almost surely, 2^84084021 is an apocalyptic number.

It is an amenable number.

84084021 is a deficient number, since it is larger than the sum of its proper divisors (70048139).

84084021 is a wasteful number, since it uses less digits than its factorization.

84084021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 84084021 is about 9169.7339656066. The cubic root of 84084021 is about 438.0978857975.

The spelling of 84084021 in words is "eighty-four million, eighty-four thousand, twenty-one".