381321 has 16 divisors (see below), whose sum is σ = 585600. Its totient is φ = 244944.

The previous prime is 381319. The next prime is 381323. The reversal of 381321 is 123183.

It is an interprime number because it is at equal distance from previous prime (381319) and next prime (381323).

It is not a de Polignac number, because 381321 - 2¹ = 381319 is a prime.

381321 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 381294 and 381303.

It is not an unprimeable number, because it can be changed into a prime (381323) 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, 540 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (36600).

2³⁸¹³²¹ is an apocalyptic number.

It is an amenable number.

381321 is a deficient number, since it is larger than the sum of its proper divisors (204279).

381321 is a wasteful number, since it uses less digits than its factorization.

381321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 381321 is about 617.5119432043. The cubic root of 381321 is about 72.5153990279.

The spelling of 381321 in words is "three hundred eighty-one thousand, three hundred twenty-one".