806137 has 2 divisors, whose sum is σ = 806138. Its totient is φ = 806136.

The previous prime is 806129. The next prime is 806153. The reversal of 806137 is 731608.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 524176 + 281961 = 724^2 + 531^2 .

It is a cyclic number.

It is not a de Polignac number, because 806137 - 2³ = 806129 is a prime.

It is not a weakly prime, because it can be changed into another prime (806107) 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, 403068 + 403069.

It is an arithmetic number, because the mean of its divisors is an integer number (403069).

2⁸⁰⁶¹³⁷ is an apocalyptic number.

It is an amenable number.

806137 is a deficient number, since it is larger than the sum of its proper divisors (1).

806137 is an equidigital number, since it uses as much as digits as its factorization.

806137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 806137 is about 897.8513239952. The cubic root of 806137 is about 93.0685508381.

Subtracting from 806137 its reverse (731608), we obtain a square (74529 = 273²).

The spelling of 806137 in words is "eight hundred six thousand, one hundred thirty-seven".