687363 has 16 divisors (see below), whose sum is σ = 998400. Its totient is φ = 419040.

The previous prime is 687359. The next prime is 687383. The reversal of 687363 is 363786.

It is a happy number.

687363 is nontrivially palindromic in base 7.

687363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 687363 - 2² = 687359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (687343) 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, 1573 + ... + 1961.

It is an arithmetic number, because the mean of its divisors is an integer number (62400).

2⁶⁸⁷³⁶³ is an apocalyptic number.

687363 is a deficient number, since it is larger than the sum of its proper divisors (311037).

687363 is a wasteful number, since it uses less digits than its factorization.

687363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442.

The product of its digits is 18144, while the sum is 33.

The square root of 687363 is about 829.0735793643. The cubic root of 687363 is about 88.2528454759.

Adding to 687363 its product of digits (18144), we get a palindrome (705507).

The spelling of 687363 in words is "six hundred eighty-seven thousand, three hundred sixty-three".