83007336 has 96 divisors (see below), whose sum is σ = 221637600. Its totient is φ = 25891200.

The previous prime is 83007319. The next prime is 83007343. The reversal of 83007336 is 63370038.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1360746 + ... + 1360806.

It is an arithmetic number, because the mean of its divisors is an integer number (2308725).

Almost surely, 2^83007336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83007336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110818800).

83007336 is an abundant number, since it is smaller than the sum of its proper divisors (138630264).

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

83007336 is a wasteful number, since it uses less digits than its factorization.

83007336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 83007336 is about 9110.8361855540. The cubic root of 83007336 is about 436.2199182329.

The spelling of 83007336 in words is "eighty-three million, seven thousand, three hundred thirty-six".