629289 has 20 divisors (see below), whose sum is σ = 997524. Its totient is φ = 393984.

The previous prime is 629281. The next prime is 629311. The reversal of 629289 is 982926.

629289 is a `hidden beast` number, since 629 + 28 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 518400 + 110889 = 720^2 + 333^2 .

It is not a de Polignac number, because 629289 - 2³ = 629281 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (15552) is a multiple of the sum of its prime factors (486).

629289 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1149 + ... + 1605.

2⁶²⁹²⁸⁹ is an apocalyptic number.

It is an amenable number.

629289 is a deficient number, since it is larger than the sum of its proper divisors (368235).

629289 is a wasteful number, since it uses less digits than its factorization.

629289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 477 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 629289 is about 793.2773789791. The cubic root of 629289 is about 85.6939273078.

The spelling of 629289 in words is "six hundred twenty-nine thousand, two hundred eighty-nine".