687541 has 2 divisors, whose sum is σ = 687542. Its totient is φ = 687540.

The previous prime is 687523. The next prime is 687551. The reversal of 687541 is 145786.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 568516 + 119025 = 754^2 + 345^2 .

It is a cyclic number.

It is not a de Polignac number, because 687541 - 2⁷ = 687413 is a prime.

It is a Chen prime.

687541 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (687521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 343770 + 343771.

It is an arithmetic number, because the mean of its divisors is an integer number (343771).

2⁶⁸⁷⁵⁴¹ is an apocalyptic number.

It is an amenable number.

687541 is a deficient number, since it is larger than the sum of its proper divisors (1).

687541 is an equidigital number, since it uses as much as digits as its factorization.

687541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6720, while the sum is 31.

The square root of 687541 is about 829.1809211505. The cubic root of 687541 is about 88.2604628244.

The spelling of 687541 in words is "six hundred eighty-seven thousand, five hundred forty-one".