687013 has 2 divisors, whose sum is σ = 687014. Its totient is φ = 687012.

The previous prime is 687007. The next prime is 687017. The reversal of 687013 is 310786.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 487204 + 199809 = 698^2 + 447^2 .

It is a cyclic number.

It is not a de Polignac number, because 687013 - 2¹⁷ = 555941 is a prime.

It is a super-3 number, since 3×687013³ = 972783330417933591, which contains 333 as substring.

It is equal to p₅₅₅₈₂ and since 687013 and 55582 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (687017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 343506 + 343507.

It is an arithmetic number, because the mean of its divisors is an integer number (343507).

2⁶⁸⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

687013 is a deficient number, since it is larger than the sum of its proper divisors (1).

687013 is an equidigital number, since it uses as much as digits as its factorization.

687013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 687013 is about 828.8624735142. The cubic root of 687013 is about 88.2378637073.

Adding to 687013 its reverse (310786), we get a palindrome (997799).

The spelling of 687013 in words is "six hundred eighty-seven thousand, thirteen".