84084017 has 8 divisors (see below), whose sum is σ = 87153000. Its totient is φ = 81057024.

The previous prime is 84084001. The next prime is 84084031. The reversal of 84084017 is 71048048.

It can be written as a sum of positive squares in 4 ways, for example, as 57623281 + 26460736 = 7591^2 + 5144^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 84084017 - 2⁴ = 84084001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84084037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6392 + ... + 14457.

It is an arithmetic number, because the mean of its divisors is an integer number (10894125).

Almost surely, 2^84084017 is an apocalyptic number.

It is an amenable number.

84084017 is a deficient number, since it is larger than the sum of its proper divisors (3068983).

84084017 is a wasteful number, since it uses less digits than its factorization.

84084017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20995.

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 84084017 is about 9169.7337474978. The cubic root of 84084017 is about 438.0978788505.

The spelling of 84084017 in words is "eighty-four million, eighty-four thousand, seventeen".