686593 has 2 divisors, whose sum is σ = 686594. Its totient is φ = 686592.

The previous prime is 686563. The next prime is 686611. The reversal of 686593 is 395686.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 651249 + 35344 = 807^2 + 188^2 .

It is a cyclic number.

It is not a de Polignac number, because 686593 - 2¹³ = 678401 is a prime.

It is not a weakly prime, because it can be changed into another prime (686503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 343296 + 343297.

It is an arithmetic number, because the mean of its divisors is an integer number (343297).

2⁶⁸⁶⁵⁹³ is an apocalyptic number.

It is an amenable number.

686593 is a deficient number, since it is larger than the sum of its proper divisors (1).

686593 is an equidigital number, since it uses as much as digits as its factorization.

686593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 38880, while the sum is 37.

The square root of 686593 is about 828.6090754994. The cubic root of 686593 is about 88.2198788669.

The spelling of 686593 in words is "six hundred eighty-six thousand, five hundred ninety-three".