689193 has 12 divisors (see below), whose sum is σ = 1010100. Its totient is φ = 452736.

The previous prime is 689167. The next prime is 689201. The reversal of 689193 is 391986.

It can be written as a sum of positive squares in 2 ways, for example, as 522729 + 166464 = 723^2 + 408^2 .

It is not a de Polignac number, because 689193 - 2¹³ = 681001 is a prime.

It is a Curzon number.

689193 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (689113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (84175).

2⁶⁸⁹¹⁹³ is an apocalyptic number.

It is an amenable number.

689193 is a deficient number, since it is larger than the sum of its proper divisors (320907).

689193 is a wasteful number, since it uses less digits than its factorization.

689193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1125 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 689193 is about 830.1764872604. The cubic root of 689193 is about 88.3310960234.

It can be divided in two parts, 68 and 9193, that added together give a cube (9261 = 21³).

The spelling of 689193 in words is "six hundred eighty-nine thousand, one hundred ninety-three".