509647 has 2 divisors, whose sum is σ = 509648. Its totient is φ = 509646.

The previous prime is 509633. The next prime is 509653. The reversal of 509647 is 746905.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 509647 - 2¹¹ = 507599 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (509687) 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, 254823 + 254824.

It is an arithmetic number, because the mean of its divisors is an integer number (254824).

2⁵⁰⁹⁶⁴⁷ is an apocalyptic number.

509647 is a deficient number, since it is larger than the sum of its proper divisors (1).

509647 is an equidigital number, since it uses as much as digits as its factorization.

509647 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 509647 is about 713.8956506381. The cubic root of 509647 is about 79.8772596982.

It can be divided in two parts, 509 and 647, that added together give a square (1156 = 34²).

The spelling of 509647 in words is "five hundred nine thousand, six hundred forty-seven".