688393 has 2 divisors, whose sum is σ = 688394. Its totient is φ = 688392.

The previous prime is 688379. The next prime is 688397. The reversal of 688393 is 393886.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 685584 + 2809 = 828^2 + 53^2 .

It is a cyclic number.

It is not a de Polignac number, because 688393 - 2¹⁷ = 557321 is a prime.

688393 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (688397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344196 + 344197.

It is an arithmetic number, because the mean of its divisors is an integer number (344197).

2⁶⁸⁸³⁹³ is an apocalyptic number.

It is an amenable number.

688393 is a deficient number, since it is larger than the sum of its proper divisors (1).

688393 is an equidigital number, since it uses as much as digits as its factorization.

688393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31104, while the sum is 37.

The square root of 688393 is about 829.6945220983. The cubic root of 688393 is about 88.2969051961.

It can be divided in two parts, 688 and 393, that added together give a triangular number (1081 = T₄₆).

The spelling of 688393 in words is "six hundred eighty-eight thousand, three hundred ninety-three".