2906509 has 2 divisors, whose sum is σ = 2906510. Its totient is φ = 2906508.

The previous prime is 2906483. The next prime is 2906513. The reversal of 2906509 is 9056092.

2906509 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2630884 + 275625 = 1622^2 + 525^2 .

It is a cyclic number.

It is not a de Polignac number, because 2906509 - 2⁷ = 2906381 is a prime.

2906509 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2906539) 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, 1453254 + 1453255.

It is an arithmetic number, because the mean of its divisors is an integer number (1453255).

2^2906509 is an apocalyptic number.

It is an amenable number.

2906509 is a deficient number, since it is larger than the sum of its proper divisors (1).

2906509 is an equidigital number, since it uses as much as digits as its factorization.

2906509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 2906509 is about 1704.8486736365. The cubic root of 2906509 is about 142.7109259668.

The spelling of 2906509 in words is "two million, nine hundred six thousand, five hundred nine".