820926137 has 2 divisors, whose sum is σ = 820926138. Its totient is φ = 820926136.

The previous prime is 820926101. The next prime is 820926151. The reversal of 820926137 is 731629028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 719097856 + 101828281 = 26816^2 + 10091^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820926137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820926137.

It is not a weakly prime, because it can be changed into another prime (820926157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410463068 + 410463069.

It is an arithmetic number, because the mean of its divisors is an integer number (410463069).

Almost surely, 2^820926137 is an apocalyptic number.

It is an amenable number.

820926137 is a deficient number, since it is larger than the sum of its proper divisors (1).

820926137 is an equidigital number, since it uses as much as digits as its factorization.

820926137 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 38.

The square root of 820926137 is about 28651.8086165603. The cubic root of 820926137 is about 936.3424098642.

The spelling of 820926137 in words is "eight hundred twenty million, nine hundred twenty-six thousand, one hundred thirty-seven".