821234137 has 2 divisors, whose sum is σ = 821234138. Its totient is φ = 821234136.

The previous prime is 821234123. The next prime is 821234177. The reversal of 821234137 is 731432128.

821234137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 436642816 + 384591321 = 20896^2 + 19611^2 .

It is a cyclic number.

It is not a de Polignac number, because 821234137 - 2¹⁵ = 821201369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 821234099 and 821234108.

It is not a weakly prime, because it can be changed into another prime (821234177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410617068 + 410617069.

It is an arithmetic number, because the mean of its divisors is an integer number (410617069).

Almost surely, 2^821234137 is an apocalyptic number.

It is an amenable number.

821234137 is a deficient number, since it is larger than the sum of its proper divisors (1).

821234137 is an equidigital number, since it uses as much as digits as its factorization.

821234137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 31.

The square root of 821234137 is about 28657.1829913549. The cubic root of 821234137 is about 936.4594960793.

The spelling of 821234137 in words is "eight hundred twenty-one million, two hundred thirty-four thousand, one hundred thirty-seven".