10405321 has 2 divisors, whose sum is σ = 10405322. Its totient is φ = 10405320.

The previous prime is 10405289. The next prime is 10405337. The reversal of 10405321 is 12350401.

It is an a-pointer prime, because the next prime (10405337) can be obtained adding 10405321 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5405625 + 4999696 = 2325^2 + 2236^2 .

It is a cyclic number.

It is not a de Polignac number, because 10405321 - 2⁵ = 10405289 is a prime.

It is a super-2 number, since 2×10405321² = 216541410226082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10405295 and 10405304.

It is not a weakly prime, because it can be changed into another prime (10405721) 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 as a sum of consecutive naturals, namely, 5202660 + 5202661.

It is an arithmetic number, because the mean of its divisors is an integer number (5202661).

Almost surely, 2^10405321 is an apocalyptic number.

It is an amenable number.

10405321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405321 is an equidigital number, since it uses as much as digits as its factorization.

10405321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10405321 is about 3225.7279798520. The cubic root of 10405321 is about 218.3157965571.

Adding to 10405321 its reverse (12350401), we get a palindrome (22755722).

The spelling of 10405321 in words is "ten million, four hundred five thousand, three hundred twenty-one".