83829072 has 20 divisors (see below), whose sum is σ = 216558560. Its totient is φ = 27943008.

The previous prime is 83829071. The next prime is 83829079. The reversal of 83829072 is 27092838.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 83829072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83829071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 873172 + ... + 873267.

It is an arithmetic number, because the mean of its divisors is an integer number (10827928).

Almost surely, 2^83829072 is an apocalyptic number.

It is an amenable number.

83829072 is an abundant number, since it is smaller than the sum of its proper divisors (132729488).

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

83829072 is a wasteful number, since it uses less digits than its factorization.

83829072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746450 (or 1746444 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 83829072 is about 9155.8217544904. The cubic root of 83829072 is about 437.6546557447.

The spelling of 83829072 in words is "eighty-three million, eight hundred twenty-nine thousand, seventy-two".