83429752 has 96 divisors (see below), whose sum is σ = 193914000. Its totient is φ = 33492480.

The previous prime is 83429707. The next prime is 83429771. The reversal of 83429752 is 25792438.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 465999 + ... + 466177.

Almost surely, 2^83429752 is an apocalyptic number.

83429752 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83429752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96957000).

83429752 is an abundant number, since it is smaller than the sum of its proper divisors (110484248).

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

83429752 is a wasteful number, since it uses less digits than its factorization.

83429752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 83429752 is about 9133.9888329251. The cubic root of 83429752 is about 436.9586263668.

The spelling of 83429752 in words is "eighty-three million, four hundred twenty-nine thousand, seven hundred fifty-two".