689733 has 12 divisors (see below), whose sum is σ = 1087008. Its totient is φ = 417960.

The previous prime is 689723. The next prime is 689761. The reversal of 689733 is 337986.

It is not a de Polignac number, because 689733 - 2¹² = 685637 is a prime.

It is a super-2 number, since 2×689733² = 951463222578, which contains 22 as substring.

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

It is a Curzon number.

689733 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689713) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3385 + ... + 3582.

It is an arithmetic number, because the mean of its divisors is an integer number (90584).

2⁶⁸⁹⁷³³ is an apocalyptic number.

It is an amenable number.

689733 is a deficient number, since it is larger than the sum of its proper divisors (397275).

689733 is a wasteful number, since it uses less digits than its factorization.

689733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6984 (or 6981 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 689733 is about 830.5016556275. The cubic root of 689733 is about 88.3541598771.

It can be divided in two parts, 68 and 9733, that added together give a square (9801 = 99²).

The spelling of 689733 in words is "six hundred eighty-nine thousand, seven hundred thirty-three".