329850 has 36 divisors (see below), whose sum is σ = 887406. Its totient is φ = 87840.

The previous prime is 329803. The next prime is 329863. The reversal of 329850 is 58923.

329850 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 314721 + 15129 = 561^2 + 123^2 .

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329850.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 84 + ... + 816.

2³²⁹⁸⁵⁰ is an apocalyptic number.

329850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 329850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443703).

329850 is an abundant number, since it is smaller than the sum of its proper divisors (557556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

329850 is a wasteful number, since it uses less digits than its factorization.

329850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 329850 is about 574.3256915723. The cubic root of 329850 is about 69.0937603751.

The spelling of 329850 in words is "three hundred twenty-nine thousand, eight hundred fifty".