83029716 has 162 divisors, whose sum is σ = 269049690. Its totient is φ = 21510720.

The previous prime is 83029703. The next prime is 83029729. The reversal of 83029716 is 61792038.

It is an interprime number because it is at equal distance from previous prime (83029703) and next prime (83029729).

It can be written as a sum of positive squares in only one way, i.e., 61685316 + 21344400 = 7854^2 + 4620^2 .

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 53 ways as a sum of consecutive naturals, for example, 213250 + ... + 213638.

Almost surely, 2^83029716 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 83029716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134524845).

83029716 is an abundant number, since it is smaller than the sum of its proper divisors (186019974).

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

83029716 is a wasteful number, since it uses less digits than its factorization.

83029716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 83029716 is about 9112.0643105720. The cubic root of 83029716 is about 436.2591184811.

The spelling of 83029716 in words is "eighty-three million, twenty-nine thousand, seven hundred sixteen".