382801 has 2 divisors, whose sum is σ = 382802. Its totient is φ = 382800.

The previous prime is 382777. The next prime is 382807. The reversal of 382801 is 108283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 22801 = 600^2 + 151^2 .

It is a cyclic number.

It is not a de Polignac number, because 382801 - 2⁵ = 382769 is a prime.

It is a Chen prime.

382801 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (382807) 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 as a sum of consecutive naturals, namely, 191400 + 191401.

It is an arithmetic number, because the mean of its divisors is an integer number (191401).

2³⁸²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

382801 is a deficient number, since it is larger than the sum of its proper divisors (1).

382801 is an equidigital number, since it uses as much as digits as its factorization.

382801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 382801 is about 618.7091400650. The cubic root of 382801 is about 72.6090945762.

The spelling of 382801 in words is "three hundred eighty-two thousand, eight hundred one".