382001 has 2 divisors, whose sum is σ = 382002. Its totient is φ = 382000.

The previous prime is 381991. The next prime is 382003. The reversal of 382001 is 100283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303601 + 78400 = 551^2 + 280^2 .

It is a cyclic number.

It is not a de Polignac number, because 382001 - 2⁶ = 381937 is a prime.

It is a Sophie Germain prime.

Together with 382003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 382001.

It is not a weakly prime, because it can be changed into another prime (382003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191000 + 191001.

It is an arithmetic number, because the mean of its divisors is an integer number (191001).

2³⁸²⁰⁰¹ is an apocalyptic number.

It is an amenable number.

382001 is a deficient number, since it is larger than the sum of its proper divisors (1).

382001 is an equidigital number, since it uses as much as digits as its factorization.

382001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 382001 is about 618.0622945950. The cubic root of 382001 is about 72.5584783836.

Adding to 382001 its reverse (100283), we get a palindrome (482284).

The spelling of 382001 in words is "three hundred eighty-two thousand, one".