905137 has 2 divisors, whose sum is σ = 905138. Its totient is φ = 905136.

The previous prime is 905123. The next prime is 905143. The reversal of 905137 is 731509.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 772641 + 132496 = 879^2 + 364^2 .

It is an emirp because it is prime and its reverse (731509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 905137 - 2¹⁵ = 872369 is a prime.

It is not a weakly prime, because it can be changed into another prime (905147) 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, 452568 + 452569.

It is an arithmetic number, because the mean of its divisors is an integer number (452569).

2⁹⁰⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

905137 is a deficient number, since it is larger than the sum of its proper divisors (1).

905137 is an equidigital number, since it uses as much as digits as its factorization.

905137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 905137 is about 951.3868823985. The cubic root of 905137 is about 96.7322833662.

The spelling of 905137 in words is "nine hundred five thousand, one hundred thirty-seven".