1836304561 has 64 divisors (see below), whose sum is σ = 2438926336. Its totient is φ = 1343692800.

The previous prime is 1836304553. The next prime is 1836304619. The reversal of 1836304561 is 1654036381.

It is a 4-Lehmer number, since φ(1836304561) divides (1836304561-1)⁴.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 1836304561 - 2³ = 1836304553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R_1836304560.

It is a self number, because there is not a number n which added to its sum of digits gives 1836304561.

It is not an unprimeable number, because it can be changed into a prime (1836304511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7619401 + ... + 7619641.

It is an arithmetic number, because the mean of its divisors is an integer number (38108224).

It is a Poulet number, since it divides 2^1836304560-1.

Almost surely, 2^1836304561 is an apocalyptic number.

It is an amenable number.

1836304561 is a deficient number, since it is larger than the sum of its proper divisors (602621775).

1836304561 is a wasteful number, since it uses less digits than its factorization.

1836304561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402.

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 1836304561 is about 42852.1243464078. The cubic root of 1836304561 is about 1224.5642345092.

It can be divided in two parts, 183630 and 4561, that added together give a triangular number (188191 = T₆₁₃).

The spelling of 1836304561 in words is "one billion, eight hundred thirty-six million, three hundred four thousand, five hundred sixty-one".