322405 has 8 divisors (see below), whose sum is σ = 409752. Its totient is φ = 242688.

The previous prime is 322403. The next prime is 322409. The reversal of 322405 is 504223.

322405 = 401² + 402².

It can be written as a sum of positive squares in 4 ways, for example, as 27556 + 294849 = 166^2 + 543^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 322405 - 2¹ = 322403 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322403) 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 7 ways as a sum of consecutive naturals, for example, 1812 + ... + 1981.

It is an arithmetic number, because the mean of its divisors is an integer number (51219).

2³²²⁴⁰⁵ is an apocalyptic number.

322405 is the 402-nd centered square number.

It is an amenable number.

322405 is a deficient number, since it is larger than the sum of its proper divisors (87347).

322405 is a wasteful number, since it uses less digits than its factorization.

322405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815.

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 322405 is about 567.8071855833. The cubic root of 322405 is about 68.5699642131.

Adding to 322405 its reverse (504223), we get a palindrome (826628).

It can be divided in two parts, 322 and 405, that added together give a palindrome (727).

The spelling of 322405 in words is "three hundred twenty-two thousand, four hundred five".