586225 has 12 divisors (see below), whose sum is σ = 736560. Its totient is φ = 462800.

The previous prime is 586213. The next prime is 586237. The reversal of 586225 is 522685.

It is an interprime number because it is at equal distance from previous prime (586213) and next prime (586237).

It is not a de Polignac number, because 586225 - 2¹⁵ = 553457 is a prime.

Its product of digits (4800) is a multiple of the sum of its prime factors (320).

586225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 586193 and 586202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3186 + ... + 3364.

It is an arithmetic number, because the mean of its divisors is an integer number (61380).

2⁵⁸⁶²²⁵ is an apocalyptic number.

It is an amenable number.

586225 is a deficient number, since it is larger than the sum of its proper divisors (150335).

586225 is a wasteful number, since it uses less digits than its factorization.

586225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 586225 is about 765.6533158029. The cubic root of 586225 is about 83.6928027072.

The spelling of 586225 in words is "five hundred eighty-six thousand, two hundred twenty-five".