329714001 has 12 divisors (see below), whose sum is σ = 476433360. Its totient is φ = 219726360.

The previous prime is 329713913. The next prime is 329714003. The reversal of 329714001 is 100417923.

It is not a de Polignac number, because 329714001 - 2²³ = 321325393 is a prime.

It is a super-2 number, since 2×329714001² = 217422644910856002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (329714003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27010 + ... + 37268.

It is an arithmetic number, because the mean of its divisors is an integer number (39702780).

Almost surely, 2^329714001 is an apocalyptic number.

It is an amenable number.

329714001 is a deficient number, since it is larger than the sum of its proper divisors (146719359).

329714001 is a wasteful number, since it uses less digits than its factorization.

329714001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13836 (or 13833 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 329714001 is about 18158.0285548845. The cubic root of 329714001 is about 690.8426315507.

The spelling of 329714001 in words is "three hundred twenty-nine million, seven hundred fourteen thousand, one".