688325 has 12 divisors (see below), whose sum is σ = 931488. Its totient is φ = 500400.

The previous prime is 688309. The next prime is 688333. The reversal of 688325 is 523886.

688325 = 478² + 479² + 480².

It is not a de Polignac number, because 688325 - 2⁴ = 688309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 688291 and 688300.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 977 + ... + 1526.

It is an arithmetic number, because the mean of its divisors is an integer number (77624).

2⁶⁸⁸³²⁵ is an apocalyptic number.

It is an amenable number.

688325 is a deficient number, since it is larger than the sum of its proper divisors (243163).

688325 is a wasteful number, since it uses less digits than its factorization.

688325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2519 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 688325 is about 829.6535421488. The cubic root of 688325 is about 88.2939977545.

The spelling of 688325 in words is "six hundred eighty-eight thousand, three hundred twenty-five".