83129376 has 48 divisors (see below), whose sum is σ = 238055328. Its totient is φ = 25190400.

The previous prime is 83129369. The next prime is 83129377. The reversal of 83129376 is 67392138.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83129377) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 38305 + ... + 40416.

It is an arithmetic number, because the mean of its divisors is an integer number (4959486).

Almost surely, 2^83129376 is an apocalyptic number.

It is an amenable number.

83129376 is an abundant number, since it is smaller than the sum of its proper divisors (154925952).

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

83129376 is a wasteful number, since it uses less digits than its factorization.

83129376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78745 (or 78737 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 83129376 is about 9117.5312448053. The cubic root of 83129376 is about 436.4335949704.

The spelling of 83129376 in words is "eighty-three million, one hundred twenty-nine thousand, three hundred seventy-six".