329986041 has 96 divisors (see below), whose sum is σ = 598855680. Its totient is φ = 159465600.

The previous prime is 329985973. The next prime is 329986043. The reversal of 329986041 is 140689923.

It is not a de Polignac number, because 329986041 - 2¹¹ = 329983993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 329985984 and 329986002.

It is not an unprimeable number, because it can be changed into a prime (329986043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1453570 + ... + 1453796.

It is an arithmetic number, because the mean of its divisors is an integer number (6238080).

Almost surely, 2^329986041 is an apocalyptic number.

329986041 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

329986041 is a deficient number, since it is larger than the sum of its proper divisors (268869639).

329986041 is a wasteful number, since it uses less digits than its factorization.

329986041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 329986041 is about 18165.5179116919. The cubic root of 329986041 is about 691.0325791670.

The spelling of 329986041 in words is "three hundred twenty-nine million, nine hundred eighty-six thousand, forty-one".