3822083329 has 9 divisors (see below), whose sum is σ = 3853434819. Its totient is φ = 3790986360.

The previous prime is 3822083281. The next prime is 3822083371. The reversal of 3822083329 is 9233802283.

The square root of 3822083329 is 61823.

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

It can be written as a sum of positive squares in only one way, i.e., 3616218225 + 205865104 = 60135^2 + 14348^2 .

It is not a de Polignac number, because 3822083329 - 2⁷ = 3822083201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3822083291 and 3822083300.

It is not an unprimeable number, because it can be changed into a prime (3822083929) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13044507 + ... + 13044799.

Almost surely, 2^3822083329 is an apocalyptic number.

3822083329 is the 61823-rd square number.

3822083329 is the 30912-nd centered octagonal number.

It is an amenable number.

3822083329 is a deficient number, since it is larger than the sum of its proper divisors (31351490).

3822083329 is an frugal number, since it uses more digits than its factorization.

3822083329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The cubic root of 3822083329 is about 1563.5077936982.

The spelling of 3822083329 in words is "three billion, eight hundred twenty-two million, eighty-three thousand, three hundred twenty-nine".