688129 has 8 divisors (see below), whose sum is σ = 758912. Its totient is φ = 619920.

The previous prime is 688111. The next prime is 688133. The reversal of 688129 is 921886.

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

It is a cyclic number.

It is not a de Polignac number, because 688129 - 2⁵ = 688097 is a prime.

It is a Duffinian number.

688129 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 688094 and 688103.

It is not an unprimeable number, because it can be changed into a prime (688139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 1174.

It is an arithmetic number, because the mean of its divisors is an integer number (94864).

It is a Proth number, since it is equal to 21 ⋅ 2¹⁵ + 1 and 21 < 2¹⁵.

2⁶⁸⁸¹²⁹ is an apocalyptic number.

It is an amenable number.

688129 is a deficient number, since it is larger than the sum of its proper divisors (70783).

688129 is a wasteful number, since it uses less digits than its factorization.

688129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287.

The product of its digits is 6912, while the sum is 34.

The square root of 688129 is about 829.5354121434. The cubic root of 688129 is about 88.2856164102.

The spelling of 688129 in words is "six hundred eighty-eight thousand, one hundred twenty-nine".