329954 has 12 divisors (see below), whose sum is σ = 523494. Its totient is φ = 155952.

The previous prime is 329951. The next prime is 329957. The reversal of 329954 is 459923.

It is an interprime number because it is at equal distance from previous prime (329951) and next prime (329957).

It can be written as a sum of positive squares in only one way, i.e., 225625 + 104329 = 475^2 + 323^2 .

It is a d-powerful number, because it can be written as 3⁷ + 2³ + 9⁴ + 9⁵ + 5 + 4⁹ .

It is a self number, because there is not a number n which added to its sum of digits gives 329954.

It is not an unprimeable number, because it can be changed into a prime (329951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 494 + ... + 950.

2³²⁹⁹⁵⁴ is an apocalyptic number.

329954 is a deficient number, since it is larger than the sum of its proper divisors (193540).

329954 is a wasteful number, since it uses less digits than its factorization.

329954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 478 counting only the distinct ones).

The product of its digits is 9720, while the sum is 32.

The square root of 329954 is about 574.4162253976. The cubic root of 329954 is about 69.1010212472.

The spelling of 329954 in words is "three hundred twenty-nine thousand, nine hundred fifty-four".