688137 has 8 divisors (see below), whose sum is σ = 957504. Its totient is φ = 438768.

The previous prime is 688133. The next prime is 688139. The reversal of 688137 is 731886.

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

It is not a de Polignac number, because 688137 - 2² = 688133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 688098 and 688107.

It is not an unprimeable number, because it can be changed into a prime (688133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4918 + ... + 5055.

It is an arithmetic number, because the mean of its divisors is an integer number (119688).

2⁶⁸⁸¹³⁷ is an apocalyptic number.

It is an amenable number.

688137 is a deficient number, since it is larger than the sum of its proper divisors (269367).

688137 is a wasteful number, since it uses less digits than its factorization.

688137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999.

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

The square root of 688137 is about 829.5402341056. The cubic root of 688137 is about 88.2859585371.

The spelling of 688137 in words is "six hundred eighty-eight thousand, one hundred thirty-seven".