329802 has 32 divisors (see below), whose sum is σ = 760320. Its totient is φ = 94320.

The previous prime is 329801. The next prime is 329803. The reversal of 329802 is 208923.

It is an interprime number because it is at equal distance from previous prime (329801) and next prime (329803).

It is a d-powerful number, because it can be written as 3¹⁰ + 2¹⁰ + 8⁶ + 9⁴ + 0 + 2¹⁰ .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (329801) 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, 1123 + ... + 1385.

It is an arithmetic number, because the mean of its divisors is an integer number (23760).

2³²⁹⁸⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380160).

329802 is an abundant number, since it is smaller than the sum of its proper divisors (430518).

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

329802 is a wasteful number, since it uses less digits than its factorization.

329802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 329802 is about 574.2839019161. The cubic root of 329802 is about 69.0904086886.

The spelling of 329802 in words is "three hundred twenty-nine thousand, eight hundred two".