584325 has 54 divisors (see below), whose sum is σ = 1240434. Its totient is φ = 262080.

The previous prime is 584303. The next prime is 584347. The reversal of 584325 is 523485.

It is an interprime number because it is at equal distance from previous prime (584303) and next prime (584347).

It can be written as a sum of positive squares in 3 ways, for example, as 74529 + 509796 = 273^2 + 714^2 .

It is not a de Polignac number, because 584325 - 2⁶ = 584261 is a prime.

584325 is a lucky number.

It is a nialpdrome in base 15.

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 584325.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10999 + ... + 11051.

It is an arithmetic number, because the mean of its divisors is an integer number (22971).

2⁵⁸⁴³²⁵ is an apocalyptic number.

It is an amenable number.

584325 is an abundant number, since it is smaller than the sum of its proper divisors (656109).

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

584325 is a wasteful number, since it uses less digits than its factorization.

584325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 584325 is about 764.4115383745. The cubic root of 584325 is about 83.6022865915.

It can be divided in two parts, 584 and 325, that added together give a palindrome (909).

The spelling of 584325 in words is "five hundred eighty-four thousand, three hundred twenty-five".