21829164 has 48 divisors (see below), whose sum is σ = 58630656. Its totient is φ = 6192000.

The previous prime is 21829151. The next prime is 21829187. The reversal of 21829164 is 46192812.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11824 + ... + 13544.

It is an arithmetic number, because the mean of its divisors is an integer number (1221472).

Almost surely, 2^21829164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21829164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29315328).

21829164 is an abundant number, since it is smaller than the sum of its proper divisors (36801492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21829164 is a wasteful number, since it uses less digits than its factorization.

21829164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1884 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 21829164 is about 4672.1690894059. The cubic root of 21829164 is about 279.4767609217.

The spelling of 21829164 in words is "twenty-one million, eight hundred twenty-nine thousand, one hundred sixty-four".