83139516 has 72 divisors (see below), whose sum is σ = 222702480. Its totient is φ = 26078976.

The previous prime is 83139499. The next prime is 83139517. The reversal of 83139516 is 61593138.

It is a happy number.

83139516 is a `hidden beast` number, since 8 + 3 + 139 + 516 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83139517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134440 + ... + 135056.

It is an arithmetic number, because the mean of its divisors is an integer number (3093090).

Almost surely, 2^83139516 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 83139516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111351240).

83139516 is an abundant number, since it is smaller than the sum of its proper divisors (139562964).

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

83139516 is a wasteful number, since it uses less digits than its factorization.

83139516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 838 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 83139516 is about 9118.0872994285. The cubic root of 83139516 is about 436.4513394266.

The spelling of 83139516 in words is "eighty-three million, one hundred thirty-nine thousand, five hundred sixteen".