20083284 has 54 divisors (see below), whose sum is σ = 54988206. Its totient is φ = 6177600.

The previous prime is 20083277. The next prime is 20083289. The reversal of 20083284 is 48238002.

It can be written as a sum of positive squares in 3 ways, for example, as 476100 + 19607184 = 690^2 + 4428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20083289) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 4434 + ... + 7734.

Almost surely, 2^20083284 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 20083284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27494103).

20083284 is an abundant number, since it is smaller than the sum of its proper divisors (34904922).

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

20083284 is a wasteful number, since it uses less digits than its factorization.

20083284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20083284 is about 4481.4377157336. The cubic root of 20083284 is about 271.8180191326.

The spelling of 20083284 in words is "twenty million, eighty-three thousand, two hundred eighty-four".