382412801 has 2 divisors, whose sum is σ = 382412802. Its totient is φ = 382412800.

The previous prime is 382412777. The next prime is 382412809. The reversal of 382412801 is 108214283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227285776 + 155127025 = 15076^2 + 12455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-382412801 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (382412809) 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, 191206400 + 191206401.

It is an arithmetic number, because the mean of its divisors is an integer number (191206401).

Almost surely, 2^382412801 is an apocalyptic number.

It is an amenable number.

382412801 is a deficient number, since it is larger than the sum of its proper divisors (1).

382412801 is an equidigital number, since it uses as much as digits as its factorization.

382412801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 382412801 is about 19555.3778025381. The cubic root of 382412801 is about 725.8454194842.

The spelling of 382412801 in words is "three hundred eighty-two million, four hundred twelve thousand, eight hundred one".