506929 has 2 divisors, whose sum is σ = 506930. Its totient is φ = 506928.

The previous prime is 506911. The next prime is 506941. The reversal of 506929 is 929605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 87025 = 648^2 + 295^2 .

It is a cyclic number.

It is not a de Polignac number, because 506929 - 2⁹ = 506417 is a prime.

It is a super-2 number, since 2×506929² = 513954022082, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 506929.

It is not a weakly prime, because it can be changed into another prime (506999) 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, 253464 + 253465.

It is an arithmetic number, because the mean of its divisors is an integer number (253465).

2⁵⁰⁶⁹²⁹ is an apocalyptic number.

It is an amenable number.

506929 is a deficient number, since it is larger than the sum of its proper divisors (1).

506929 is an equidigital number, since it uses as much as digits as its factorization.

506929 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 506929 is about 711.9894662142. The cubic root of 506929 is about 79.7350086305.

It can be divided in two parts, 506 and 929, that multiplied together give a palindrome (470074).

The spelling of 506929 in words is "five hundred six thousand, nine hundred twenty-nine".