1822405 has 24 divisors (see below), whose sum is σ = 2508408. Its totient is φ = 1262976.

The previous prime is 1822393. The next prime is 1822411. The reversal of 1822405 is 5042281.

1822405 = T₂₈₆ + T₂₈₇ + ... + T₃₂₄.

1822405 = 75² + 76² + ... + 180².

It can be written as a sum of positive squares in 4 ways, for example, as 103684 + 1718721 = 322^2 + 1311^2 .

It is not a de Polignac number, because 1822405 - 2⁷ = 1822277 is a prime.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

1822405 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34359 + ... + 34411.

It is an arithmetic number, because the mean of its divisors is an integer number (104517).

2^1822405 is an apocalyptic number.

It is an amenable number.

1822405 is a deficient number, since it is larger than the sum of its proper divisors (686003).

1822405 is a wasteful number, since it uses less digits than its factorization.

1822405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1822405 is about 1349.9648143563. The cubic root of 1822405 is about 122.1466703257.

Adding to 1822405 its reverse (5042281), we get a palindrome (6864686).

The spelling of 1822405 in words is "one million, eight hundred twenty-two thousand, four hundred five".