1005321 has 4 divisors (see below), whose sum is σ = 1340432. Its totient is φ = 670212.

The previous prime is 1005317. The next prime is 1005331. The reversal of 1005321 is 1235001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 1235001 = 3 ⋅411667.

It is not a de Polignac number, because 1005321 - 2² = 1005317 is a prime.

It is a D-number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005297 and 1005306.

It is not an unprimeable number, because it can be changed into a prime (1005331) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 167551 + ... + 167556.

It is an arithmetic number, because the mean of its divisors is an integer number (335108).

2^1005321 is an apocalyptic number.

It is an amenable number.

1005321 is a deficient number, since it is larger than the sum of its proper divisors (335111).

1005321 is an equidigital number, since it uses as much as digits as its factorization.

1005321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335110.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1005321 is about 1002.6569702545. The cubic root of 1005321 is about 100.1770530040.

It can be divided in two parts, 1005 and 321, that added together give a triangular number (1326 = T₅₁).

The spelling of 1005321 in words is "one million, five thousand, three hundred twenty-one".