1842561 has 16 divisors (see below), whose sum is σ = 3120000. Its totient is φ = 1052784.

The previous prime is 1842557. The next prime is 1842569. The reversal of 1842561 is 1652481.

1842561 = 109² + 110² + ... + 189².

It is not a de Polignac number, because 1842561 - 2² = 1842557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

1842561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1842569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4686 + ... + 5063.

It is an arithmetic number, because the mean of its divisors is an integer number (195000).

2^1842561 is an apocalyptic number.

It is an amenable number.

1842561 is a deficient number, since it is larger than the sum of its proper divisors (1277439).

1842561 is an equidigital number, since it uses as much as digits as its factorization.

1842561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9765 (or 9759 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1842561 is about 1357.4096655026. The cubic root of 1842561 is about 122.5953388032.

Adding to 1842561 its product of digits (1920), we get a palindrome (1844481).

The spelling of 1842561 in words is "one million, eight hundred forty-two thousand, five hundred sixty-one".