168629 has 2 divisors, whose sum is σ = 168630. Its totient is φ = 168628.

The previous prime is 168617. The next prime is 168631. The reversal of 168629 is 926861.

168629 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., 168100 + 529 = 410^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 168629 - 2¹⁶ = 103093 is a prime.

Together with 168631, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 168595 and 168604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (168029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 84314 + 84315.

It is an arithmetic number, because the mean of its divisors is an integer number (84315).

2¹⁶⁸⁶²⁹ is an apocalyptic number.

It is an amenable number.

168629 is a deficient number, since it is larger than the sum of its proper divisors (1).

168629 is an equidigital number, since it uses as much as digits as its factorization.

168629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 32.

The square root of 168629 is about 410.6446152088. The cubic root of 168629 is about 55.2472613863.

It can be divided in two parts, 168 and 629, that added together give a palindrome (797).

The spelling of 168629 in words is "one hundred sixty-eight thousand, six hundred twenty-nine".