82744038 has 64 divisors (see below), whose sum is σ = 199180800. Its totient is φ = 25310880.

The previous prime is 82744033. The next prime is 82744043. The reversal of 82744038 is 83044728.

It is an interprime number because it is at equal distance from previous prime (82744033) and next prime (82744043).

It is a junction number, because it is equal to n+sod(n) for n = 82743993 and 82744011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82744033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218133 + ... + 218511.

It is an arithmetic number, because the mean of its divisors is an integer number (3112200).

Almost surely, 2^82744038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82744038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99590400).

82744038 is an abundant number, since it is smaller than the sum of its proper divisors (116436762).

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

82744038 is a wasteful number, since it uses less digits than its factorization.

82744038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 82744038 is about 9096.3749922703. The cubic root of 82744038 is about 435.7582020668.

The spelling of 82744038 in words is "eighty-two million, seven hundred forty-four thousand, thirty-eight".