1829372221 has 16 divisors (see below), whose sum is σ = 1899687168. Its totient is φ = 1760616000.

The previous prime is 1829372213. The next prime is 1829372243. The reversal of 1829372221 is 1222739281.

It is a cyclic number.

It is not a de Polignac number, because 1829372221 - 2³ = 1829372213 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 (1829372201) 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 in 15 ways as a sum of consecutive naturals, for example, 961371 + ... + 963271.

It is an arithmetic number, because the mean of its divisors is an integer number (118730448).

Almost surely, 2^1829372221 is an apocalyptic number.

It is an amenable number.

1829372221 is a deficient number, since it is larger than the sum of its proper divisors (70314947).

1829372221 is a wasteful number, since it uses less digits than its factorization.

1829372221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292.

The product of its digits is 24192, while the sum is 37.

The square root of 1829372221 is about 42771.1610901551. The cubic root of 1829372221 is about 1223.0213167699.

The spelling of 1829372221 in words is "one billion, eight hundred twenty-nine million, three hundred seventy-two thousand, two hundred twenty-one".