382321 has 4 divisors (see below), whose sum is σ = 392692. Its totient is φ = 371952.

The previous prime is 382303. The next prime is 382331. The reversal of 382321 is 123283.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 123283 = 113 ⋅1091.

It can be written as a sum of positive squares in 2 ways, for example, as 314721 + 67600 = 561^2 + 260^2 .

It is a cyclic number.

It is not a de Polignac number, because 382321 - 2¹⁵ = 349553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5130 + ... + 5203.

It is an arithmetic number, because the mean of its divisors is an integer number (98173).

2³⁸²³²¹ is an apocalyptic number.

It is an amenable number.

382321 is a deficient number, since it is larger than the sum of its proper divisors (10371).

382321 is a wasteful number, since it uses less digits than its factorization.

382321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370.

The product of its digits is 288, while the sum is 19.

The square root of 382321 is about 618.3211139853. The cubic root of 382321 is about 72.5787333329.

It can be divided in two parts, 3823 and 21, that added together give a square (3844 = 62²).

The spelling of 382321 in words is "three hundred eighty-two thousand, three hundred twenty-one".