329966 has 32 divisors (see below), whose sum is σ = 638400. Its totient is φ = 127008.

The previous prime is 329957. The next prime is 329969. The reversal of 329966 is 669923.

It is a super-2 number, since 2×329966² = 217755122312, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329966.

It is not an unprimeable number, because it can be changed into a prime (329969) 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, 8900 + ... + 8936.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2³²⁹⁹⁶⁶ is an apocalyptic number.

329966 is a deficient number, since it is larger than the sum of its proper divisors (308434).

329966 is a wasteful number, since it uses less digits than its factorization.

329966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its digits is 17496, while the sum is 35.

The square root of 329966 is about 574.4266706900. The cubic root of 329966 is about 69.1018589419.

It can be divided in two parts, 3 and 29966, that multiplied together give a palindrome (89898).

The spelling of 329966 in words is "three hundred twenty-nine thousand, nine hundred sixty-six".