83829312 has 168 divisors, whose sum is σ = 290998656. Its totient is φ = 22523904.

The previous prime is 83829307. The next prime is 83829323. The reversal of 83829312 is 21392838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67933 + ... + 69155.

Almost surely, 2^83829312 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 83829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145499328).

83829312 is an abundant number, since it is smaller than the sum of its proper divisors (207169344).

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

83829312 is a wasteful number, since it uses less digits than its factorization.

83829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1252 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 83829312 is about 9155.8348608961. The cubic root of 83829312 is about 437.6550734081.

The spelling of 83829312 in words is "eighty-three million, eight hundred twenty-nine thousand, three hundred twelve".