687355 has 16 divisors (see below), whose sum is σ = 887040. Its totient is φ = 510048.

The previous prime is 687343. The next prime is 687359. The reversal of 687355 is 553786.

It is a happy number.

It is not a de Polignac number, because 687355 - 2⁹ = 686843 is a prime.

Its product of digits (25200) is a multiple of the sum of its prime divisors (210).

687355 is a lucky number.

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 687355.

It is not an unprimeable number, because it can be changed into a prime (687359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4876 + ... + 5014.

It is an arithmetic number, because the mean of its divisors is an integer number (55440).

2⁶⁸⁷³⁵⁵ is an apocalyptic number.

687355 is a deficient number, since it is larger than the sum of its proper divisors (199685).

687355 is a wasteful number, since it uses less digits than its factorization.

687355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210.

The product of its digits is 25200, while the sum is 34.

The square root of 687355 is about 829.0687546881. The cubic root of 687355 is about 88.2525030922.

It can be divided in two parts, 6873 and 55, that multiplied together give a triangular number (378015 = T₈₆₉).

The spelling of 687355 in words is "six hundred eighty-seven thousand, three hundred fifty-five".