83937906 has 72 divisors (see below), whose sum is σ = 202034196. Its totient is φ = 25159680.

The previous prime is 83937899. The next prime is 83937907. The reversal of 83937906 is 60973938.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 50625 + 83887281 = 225^2 + 9159^2 .

It is not an unprimeable number, because it can be changed into a prime (83937907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124386 + ... + 125058.

Almost surely, 2^83937906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83937906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101017098).

83937906 is an abundant number, since it is smaller than the sum of its proper divisors (118096290).

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

83937906 is a wasteful number, since it uses less digits than its factorization.

83937906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 83937906 is about 9161.7632582380. The cubic root of 83937906 is about 437.8439739504.

The spelling of 83937906 in words is "eighty-three million, nine hundred thirty-seven thousand, nine hundred six".