688253 has 2 divisors, whose sum is σ = 688254. Its totient is φ = 688252.

The previous prime is 688249. The next prime is 688277. The reversal of 688253 is 352886.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 611524 + 76729 = 782^2 + 277^2 .

It is a cyclic number.

It is not a de Polignac number, because 688253 - 2² = 688249 is a prime.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344126 + 344127.

It is an arithmetic number, because the mean of its divisors is an integer number (344127).

2⁶⁸⁸²⁵³ is an apocalyptic number.

It is an amenable number.

688253 is a deficient number, since it is larger than the sum of its proper divisors (1).

688253 is an equidigital number, since it uses as much as digits as its factorization.

688253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11520, while the sum is 32.

The square root of 688253 is about 829.6101494075. The cubic root of 688253 is about 88.2909190783.

The spelling of 688253 in words is "six hundred eighty-eight thousand, two hundred fifty-three".