687893 has 2 divisors, whose sum is σ = 687894. Its totient is φ = 687892.

The previous prime is 687847. The next prime is 687901. The reversal of 687893 is 398786.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 669124 + 18769 = 818^2 + 137^2 .

It is a cyclic number.

It is not a de Polignac number, because 687893 - 2⁶ = 687829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 687893.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (687823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 343946 + 343947.

It is an arithmetic number, because the mean of its divisors is an integer number (343947).

2⁶⁸⁷⁸⁹³ is an apocalyptic number.

It is an amenable number.

687893 is a deficient number, since it is larger than the sum of its proper divisors (1).

687893 is an equidigital number, since it uses as much as digits as its factorization.

687893 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72576, while the sum is 41.

The square root of 687893 is about 829.3931516476. The cubic root of 687893 is about 88.2755224754.

The spelling of 687893 in words is "six hundred eighty-seven thousand, eight hundred ninety-three".