83429164 has 72 divisors (see below), whose sum is σ = 185008320. Its totient is φ = 32626944.

The previous prime is 83429147. The next prime is 83429167. The reversal of 83429164 is 46192438.

It is not an unprimeable number, because it can be changed into a prime (83429167) 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 23 ways as a sum of consecutive naturals, for example, 348957 + ... + 349195.

It is an arithmetic number, because the mean of its divisors is an integer number (2569560).

Almost surely, 2^83429164 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 83429164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92504160).

83429164 is an abundant number, since it is smaller than the sum of its proper divisors (101579156).

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

83429164 is a wasteful number, since it uses less digits than its factorization.

83429164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 398 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 83429164 is about 9133.9566453974. The cubic root of 83429164 is about 436.9575998254.

The spelling of 83429164 in words is "eighty-three million, four hundred twenty-nine thousand, one hundred sixty-four".