83292996 has 48 divisors (see below), whose sum is σ = 207023040. Its totient is φ = 25973760.

The previous prime is 83292991. The next prime is 83292997. The reversal of 83292996 is 69929238.

It is not an unprimeable number, because it can be changed into a prime (83292991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35376 + ... + 37656.

It is an arithmetic number, because the mean of its divisors is an integer number (4312980).

Almost surely, 2^83292996 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 83292996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103511520).

83292996 is an abundant number, since it is smaller than the sum of its proper divisors (123730044).

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

83292996 is a wasteful number, since it uses less digits than its factorization.

83292996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2482 counting only the distinct ones).

The product of its digits is 419904, while the sum is 48.

The square root of 83292996 is about 9126.4996575905. The cubic root of 83292996 is about 436.7197451811.

It can be divided in two parts, 8329 and 2996, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 83292996 in words is "eighty-three million, two hundred ninety-two thousand, nine hundred ninety-six".