329607 has 12 divisors (see below), whose sum is σ = 485784. Its totient is φ = 215280.

The previous prime is 329603. The next prime is 329617. The reversal of 329607 is 706923.

It is not a de Polignac number, because 329607 - 2² = 329603 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

329607 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132 + ... + 822.

It is an arithmetic number, because the mean of its divisors is an integer number (40482).

2³²⁹⁶⁰⁷ is an apocalyptic number.

329607 is a deficient number, since it is larger than the sum of its proper divisors (156177).

329607 is a wasteful number, since it uses less digits than its factorization.

329607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 329607 is about 574.1141001578. The cubic root of 329607 is about 69.0767891170.

The spelling of 329607 in words is "three hundred twenty-nine thousand, six hundred seven".