329745 has 32 divisors (see below), whose sum is σ = 604800. Its totient is φ = 152064.

The previous prime is 329729. The next prime is 329761. The reversal of 329745 is 547923.

329745 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (329729) and next prime (329761).

It is not a de Polignac number, because 329745 - 2⁴ = 329729 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3661 + ... + 3749.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2³²⁹⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

329745 is a deficient number, since it is larger than the sum of its proper divisors (275055).

329745 is a wasteful number, since it uses less digits than its factorization.

329745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129.

The product of its digits is 7560, while the sum is 30.

The square root of 329745 is about 574.2342727494. The cubic root of 329745 is about 69.0864281384.

The spelling of 329745 in words is "three hundred twenty-nine thousand, seven hundred forty-five".