684825 has 24 divisors (see below), whose sum is σ = 1184448. Its totient is φ = 348480.

The previous prime is 684809. The next prime is 684829. The reversal of 684825 is 528486.

684825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 684825 - 2⁴ = 684809 is a prime.

It is a Curzon number.

684825 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 684825.

It is not an unprimeable number, because it can be changed into a prime (684829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1527 + ... + 1923.

It is an arithmetic number, because the mean of its divisors is an integer number (49352).

2⁶⁸⁴⁸²⁵ is an apocalyptic number.

It is an amenable number.

684825 is a deficient number, since it is larger than the sum of its proper divisors (499623).

684825 is a wasteful number, since it uses less digits than its factorization.

684825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 428 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 684825 is about 827.5415397429. The cubic root of 684825 is about 88.1440907285.

The spelling of 684825 in words is "six hundred eighty-four thousand, eight hundred twenty-five".