83734924 has 72 divisors (see below), whose sum is σ = 187019280. Its totient is φ = 32505984.

The previous prime is 83734901. The next prime is 83734943. The reversal of 83734924 is 42943738.

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, 150054 + ... + 150610.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2^83734924 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 83734924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93509640).

83734924 is an abundant number, since it is smaller than the sum of its proper divisors (103284356).

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

83734924 is a wasteful number, since it uses less digits than its factorization.

83734924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 638 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 83734924 is about 9150.6788819191. The cubic root of 83734924 is about 437.4907518045.

The spelling of 83734924 in words is "eighty-three million, seven hundred thirty-four thousand, nine hundred twenty-four".