5205321 has 12 divisors (see below), whose sum is σ = 8202480. Its totient is φ = 3154680.

The previous prime is 5205307. The next prime is 5205329. The reversal of 5205321 is 1235025.

It is a happy number.

It is not a de Polignac number, because 5205321 - 2¹⁵ = 5172553 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5205294 and 5205303.

It is not an unprimeable number, because it can be changed into a prime (5205329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26191 + ... + 26388.

It is an arithmetic number, because the mean of its divisors is an integer number (683540).

Almost surely, 2^5205321 is an apocalyptic number.

It is an amenable number.

5205321 is a deficient number, since it is larger than the sum of its proper divisors (2997159).

5205321 is a wasteful number, since it uses less digits than its factorization.

5205321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52596 (or 52593 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5205321 is about 2281.5172583174. The cubic root of 5205321 is about 173.3068939785.

The spelling of 5205321 in words is "five million, two hundred five thousand, three hundred twenty-one".