688331 has 8 divisors (see below), whose sum is σ = 794880. Its totient is φ = 583848.

The previous prime is 688309. The next prime is 688333. The reversal of 688331 is 133886.

688331 = T₄₇₆ + T₄₇₇ + ... + T₄₈₁.

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 688331 - 2¹⁰ = 687307 is a prime.

It is a super-2 number, since 2×688331² = 947599131122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 688294 and 688303.

It is not an unprimeable number, because it can be changed into a prime (688333) 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, 290 + ... + 1208.

It is an arithmetic number, because the mean of its divisors is an integer number (99360).

2⁶⁸⁸³³¹ is an apocalyptic number.

688331 is a deficient number, since it is larger than the sum of its proper divisors (106549).

688331 is a wasteful number, since it uses less digits than its factorization.

688331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033.

The product of its digits is 3456, while the sum is 29.

The square root of 688331 is about 829.6571581081. The cubic root of 688331 is about 88.2942543012.

The spelling of 688331 in words is "six hundred eighty-eight thousand, three hundred thirty-one".