689305 has 8 divisors (see below), whose sum is σ = 837000. Its totient is φ = 544896.

The previous prime is 689291. The next prime is 689309. The reversal of 689305 is 503986.

It can be written as a sum of positive squares in 4 ways, for example, as 3721 + 685584 = 61^2 + 828^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 689305 - 2¹³ = 681113 is a prime.

689305 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (689309) by changing a digit.

It is a nontrivial repunit in base 88.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330 + ... + 1219.

It is an arithmetic number, because the mean of its divisors is an integer number (104625).

2⁶⁸⁹³⁰⁵ is an apocalyptic number.

It is an amenable number.

689305 is a deficient number, since it is larger than the sum of its proper divisors (147695).

689305 is a wasteful number, since it uses less digits than its factorization.

689305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 689305 is about 830.2439400562. The cubic root of 689305 is about 88.3358806275.

The spelling of 689305 in words is "six hundred eighty-nine thousand, three hundred five".