327834 has 32 divisors (see below), whose sum is σ = 786240. Its totient is φ = 100656.

The previous prime is 327829. The next prime is 327839. The reversal of 327834 is 438723.

327834 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (327829) and next prime (327839).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 327798 and 327807.

It is not an unprimeable number, because it can be changed into a prime (327839) 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, 469 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2³²⁷⁸³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

327834 is an abundant number, since it is smaller than the sum of its proper divisors (458406).

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

327834 is a wasteful number, since it uses less digits than its factorization.

327834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 327834 is about 572.5678999036. The cubic root of 327834 is about 68.9527086155.

Subtracting 327834 from its reverse (438723), we obtain a square (110889 = 333²).

The spelling of 327834 in words is "three hundred twenty-seven thousand, eight hundred thirty-four".