83138364 has 108 divisors (see below), whose sum is σ = 228636408. Its totient is φ = 25459200.

The previous prime is 83138351. The next prime is 83138387. The reversal of 83138364 is 46383138.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 634579 + ... + 634709.

Almost surely, 2^83138364 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 83138364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114318204).

83138364 is an abundant number, since it is smaller than the sum of its proper divisors (145498044).

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

83138364 is a wasteful number, since it uses less digits than its factorization.

83138364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 83138364 is about 9118.0241280663. The cubic root of 83138364 is about 436.4493235611.

The spelling of 83138364 in words is "eighty-three million, one hundred thirty-eight thousand, three hundred sixty-four".