83649316 has 27 divisors (see below), whose sum is σ = 156084019. Its totient is φ = 39218048.

The previous prime is 83649271. The next prime is 83649329. The reversal of 83649316 is 61394638.

The square root of 83649316 is 9146.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4368100 + 79281216 = 2090^2 + 8904^2 .

It is a Duffinian number.

Its product of digits (93312) is a multiple of the sum of its prime divisors (288).

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 310830 + ... + 311098.

Almost surely, 2^83649316 is an apocalyptic number.

83649316 is the 9146-th square number.

It is an amenable number.

83649316 is a deficient number, since it is larger than the sum of its proper divisors (72434703).

83649316 is a wasteful number, since it uses less digits than its factorization.

83649316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The cubic root of 83649316 is about 437.3416086225.

The spelling of 83649316 in words is "eighty-three million, six hundred forty-nine thousand, three hundred sixteen".