688713 has 8 divisors (see below), whose sum is σ = 924288. Its totient is φ = 456144.

The previous prime is 688697. The next prime is 688717. The reversal of 688713 is 317886.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 688713 - 2⁴ = 688697 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688713.

It is not an unprimeable number, because it can be changed into a prime (688717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 1182.

It is an arithmetic number, because the mean of its divisors is an integer number (115536).

2⁶⁸⁸⁷¹³ is an apocalyptic number.

It is an amenable number.

688713 is a deficient number, since it is larger than the sum of its proper divisors (235575).

688713 is a wasteful number, since it uses less digits than its factorization.

688713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503.

The product of its digits is 8064, while the sum is 33.

The square root of 688713 is about 829.8873417519. The cubic root of 688713 is about 88.3105847041.

The spelling of 688713 in words is "six hundred eighty-eight thousand, seven hundred thirteen".