329973 has 16 divisors (see below), whose sum is σ = 529920. Its totient is φ = 178416.

The previous prime is 329969. The next prime is 329977. The reversal of 329973 is 379923.

It is an interprime number because it is at equal distance from previous prime (329969) and next prime (329977).

It is not a de Polignac number, because 329973 - 2² = 329969 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15 + ... + 812.

It is an arithmetic number, because the mean of its divisors is an integer number (33120).

2³²⁹⁹⁷³ is an apocalyptic number.

It is an amenable number.

329973 is a deficient number, since it is larger than the sum of its proper divisors (199947).

329973 is a wasteful number, since it uses less digits than its factorization.

329973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856.

The product of its digits is 10206, while the sum is 33.

The square root of 329973 is about 574.4327636895. The cubic root of 329973 is about 69.1023475878.

The spelling of 329973 in words is "three hundred twenty-nine thousand, nine hundred seventy-three".