687225 has 72 divisors (see below), whose sum is σ = 1526688. Its totient is φ = 268800.

The previous prime is 687223. The next prime is 687233. The reversal of 687225 is 522786.

687225 = T₆₆ + T₆₇ + ... + T₁₆₃.

687225 = 193² + 194² + ... + 209².

It is not a de Polignac number, because 687225 - 2¹ = 687223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 687192 and 687201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40417 + ... + 40433.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

2⁶⁸⁷²²⁵ is an apocalyptic number.

It is an amenable number.

687225 is an abundant number, since it is smaller than the sum of its proper divisors (839463).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

687225 is a wasteful number, since it uses less digits than its factorization.

687225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 43 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 687225 is about 828.9903497629. The cubic root of 687225 is about 88.2469389860.

The spelling of 687225 in words is "six hundred eighty-seven thousand, two hundred twenty-five".