329812117 has 8 divisors (see below), whose sum is σ = 339594296. Its totient is φ = 320075712.

The previous prime is 329812033. The next prime is 329812129. The reversal of 329812117 is 711218923.

It can be written as a sum of positive squares in 4 ways, for example, as 70408881 + 259403236 = 8391^2 + 16106^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 329812117 - 2¹⁵ = 329779349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329812517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3463 + ... + 25915.

It is an arithmetic number, because the mean of its divisors is an integer number (42449287).

Almost surely, 2^329812117 is an apocalyptic number.

329812117 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

329812117 is a deficient number, since it is larger than the sum of its proper divisors (9782179).

329812117 is a wasteful number, since it uses less digits than its factorization.

329812117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22887.

The product of its digits is 6048, while the sum is 34.

The square root of 329812117 is about 18160.7300789368. The cubic root of 329812117 is about 690.9111515337.

The spelling of 329812117 in words is "three hundred twenty-nine million, eight hundred twelve thousand, one hundred seventeen".