905208949 has 2 divisors, whose sum is σ = 905208950. Its totient is φ = 905208948.

The previous prime is 905208901. The next prime is 905208973. The reversal of 905208949 is 949802509.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 777405924 + 127803025 = 27882^2 + 11305^2 .

It is an emirp because it is prime and its reverse (949802509) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 905208949 - 2¹¹ = 905206901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 905208899 and 905208908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (905208989) 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, 452604474 + 452604475.

It is an arithmetic number, because the mean of its divisors is an integer number (452604475).

Almost surely, 2^905208949 is an apocalyptic number.

It is an amenable number.

905208949 is a deficient number, since it is larger than the sum of its proper divisors (1).

905208949 is an equidigital number, since it uses as much as digits as its factorization.

905208949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 233280, while the sum is 46.

The square root of 905208949 is about 30086.6905624397. The cubic root of 905208949 is about 967.3484636928.

The spelling of 905208949 in words is "nine hundred five million, two hundred eight thousand, nine hundred forty-nine".