806381 has 2 divisors, whose sum is σ = 806382. Its totient is φ = 806380.

The previous prime is 806371. The next prime is 806383. The reversal of 806381 is 183608.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 434281 + 372100 = 659^2 + 610^2 .

It is a cyclic number.

It is not a de Polignac number, because 806381 - 2⁶ = 806317 is a prime.

It is a super-2 number, since 2×806381² = 1300500634322, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 806383, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 806381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (806383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403190 + 403191.

It is an arithmetic number, because the mean of its divisors is an integer number (403191).

2⁸⁰⁶³⁸¹ is an apocalyptic number.

It is an amenable number.

806381 is a deficient number, since it is larger than the sum of its proper divisors (1).

806381 is an equidigital number, since it uses as much as digits as its factorization.

806381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 806381 is about 897.9871936726. The cubic root of 806381 is about 93.0779398277.

Adding to 806381 its reverse (183608), we get a palindrome (989989).

The spelling of 806381 in words is "eight hundred six thousand, three hundred eighty-one".