289629 has 16 divisors (see below), whose sum is σ = 455040. Its totient is φ = 181440.

The previous prime is 289607. The next prime is 289637. The reversal of 289629 is 926982.

289629 is a `hidden beast` number, since 28 + 9 + 629 = 666.

It is not a de Polignac number, because 289629 - 2¹² = 285533 is a prime.

289629 is a modest number, since divided by 629 gives 289 as remainder.

It is a Curzon number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 289593 and 289602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289669) 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 in 15 ways as a sum of consecutive naturals, for example, 144 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (28440).

2²⁸⁹⁶²⁹ is an apocalyptic number.

It is an amenable number.

289629 is a deficient number, since it is larger than the sum of its proper divisors (165411).

289629 is a wasteful number, since it uses less digits than its factorization.

289629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 651 counting only the distinct ones).

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

The square root of 289629 is about 538.1719056212. The cubic root of 289629 is about 66.1628211326.

The spelling of 289629 in words is "two hundred eighty-nine thousand, six hundred twenty-nine".