688249 has 2 divisors, whose sum is σ = 688250. Its totient is φ = 688248.

The previous prime is 688223. The next prime is 688253. The reversal of 688249 is 942886.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 469225 + 219024 = 685^2 + 468^2 .

It is a cyclic number.

It is not a de Polignac number, because 688249 - 2⁵ = 688217 is a prime.

It is not a weakly prime, because it can be changed into another prime (680249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344124 + 344125.

It is an arithmetic number, because the mean of its divisors is an integer number (344125).

2⁶⁸⁸²⁴⁹ is an apocalyptic number.

It is an amenable number.

688249 is a deficient number, since it is larger than the sum of its proper divisors (1).

688249 is an equidigital number, since it uses as much as digits as its factorization.

688249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27648, while the sum is 37.

The square root of 688249 is about 829.6077386331. The cubic root of 688249 is about 88.2907480344.

The spelling of 688249 in words is "six hundred eighty-eight thousand, two hundred forty-nine".