82929744 has 100 divisors (see below), whose sum is σ = 244190100. Its totient is φ = 27164160.

The previous prime is 82929739. The next prime is 82929793. The reversal of 82929744 is 44792928.

It can be written as a sum of positive squares in 2 ways, for example, as 36144144 + 46785600 = 6012^2 + 6840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82929744.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 78532 + ... + 79580.

It is an arithmetic number, because the mean of its divisors is an integer number (2441901).

Almost surely, 2^82929744 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 82929744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122095050).

82929744 is an abundant number, since it is smaller than the sum of its proper divisors (161260356).

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

82929744 is a wasteful number, since it uses less digits than its factorization.

82929744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1115 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 82929744 is about 9106.5769639311. The cubic root of 82929744 is about 436.0839554400.

The spelling of 82929744 in words is "eighty-two million, nine hundred twenty-nine thousand, seven hundred forty-four".