811890337 has 2 divisors, whose sum is σ = 811890338. Its totient is φ = 811890336.

The previous prime is 811890283. The next prime is 811890377. The reversal of 811890337 is 733098118.

It is the 11633-rd star number.

It is an a-pointer prime, because the next prime (811890377) can be obtained adding 811890337 to its sum of digits (40).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 554319936 + 257570401 = 23544^2 + 16049^2 .

It is a cyclic number.

It is not a de Polignac number, because 811890337 - 2¹⁵ = 811857569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 811890337.

It is not a weakly prime, because it can be changed into another prime (811890377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 405945168 + 405945169.

It is an arithmetic number, because the mean of its divisors is an integer number (405945169).

Almost surely, 2^811890337 is an apocalyptic number.

It is an amenable number.

811890337 is a deficient number, since it is larger than the sum of its proper divisors (1).

811890337 is an equidigital number, since it uses as much as digits as its factorization.

811890337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 811890337 is about 28493.6894241514. The cubic root of 811890337 is about 932.8943386044.

The spelling of 811890337 in words is "eight hundred eleven million, eight hundred ninety thousand, three hundred thirty-seven".