84033313 has 32 divisors (see below), whose sum is σ = 107476992. Its totient is φ = 63936000.

The previous prime is 84033277. The next prime is 84033317. The reversal of 84033313 is 31333048.

It is a cyclic number.

It is not a de Polignac number, because 84033313 - 2¹⁷ = 83902241 is a prime.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (84033317) 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 31 ways as a sum of consecutive naturals, for example, 376720 + ... + 376942.

It is an arithmetic number, because the mean of its divisors is an integer number (3358656).

Almost surely, 2^84033313 is an apocalyptic number.

84033313 is the 5798-th heptagonal number.

It is an amenable number.

84033313 is a deficient number, since it is larger than the sum of its proper divisors (23443679).

84033313 is a wasteful number, since it uses less digits than its factorization.

84033313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 84033313 is about 9166.9685829068. The cubic root of 84033313 is about 438.0098011471.

The spelling of 84033313 in words is "eighty-four million, thirty-three thousand, three hundred thirteen".