830382 has 32 divisors (see below), whose sum is σ = 2011392. Its totient is φ = 223104.

The previous prime is 830363. The next prime is 830383. The reversal of 830382 is 283038.

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 830382.

It is not an unprimeable number, because it can be changed into a prime (830383) by changing a digit.

830382 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (62856).

2⁸³⁰³⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005696).

830382 is an abundant number, since it is smaller than the sum of its proper divisors (1181010).

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

830382 is a wasteful number, since it uses less digits than its factorization.

830382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 830382 is about 911.2529835342. The cubic root of 830382 is about 93.9923790411.

It can be divided in two parts, 8303 and 82, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 830382 in words is "eight hundred thirty thousand, three hundred eighty-two".