3212282329 has 15 divisors (see below), whose sum is σ = 3412475727. Its totient is φ = 3023831304.

The previous prime is 3212282303. The next prime is 3212282347. The reversal of 3212282329 is 9232822123.

The square root of 3212282329 is 56677.

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., 941569225 + 2270713104 = 30685^2 + 47652^2 .

It is not a de Polignac number, because 3212282329 - 2⁷ = 3212282201 is a prime.

It is a super-2 number, since 2×3212282329² = 20637515522411328482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3212282294 and 3212282303.

It is not an unprimeable number, because it can be changed into a prime (3212282389) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20460319 + ... + 20460475.

Almost surely, 2^3212282329 is an apocalyptic number.

3212282329 is the 56677-th square number.

3212282329 is the 28339-th centered octagonal number.

It is an amenable number.

3212282329 is a deficient number, since it is larger than the sum of its proper divisors (200193398).

3212282329 is an frugal number, since it uses more digits than its factorization.

3212282329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 176 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The cubic root of 3212282329 is about 1475.4955460690.

Multiplying 3212282329 by its product of digits (20736), we get a square (66609886374144 = 8161488²).

The spelling of 3212282329 in words is "three billion, two hundred twelve million, two hundred eighty-two thousand, three hundred twenty-nine".