20772819 has 12 divisors (see below), whose sum is σ = 30139200. Its totient is φ = 13786704.

The previous prime is 20772811. The next prime is 20772847. The reversal of 20772819 is 91827702.

It is not a de Polignac number, because 20772819 - 2³ = 20772811 is a prime.

It is a super-4 number, since 4×20772819⁴ (a number of 30 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20772811) 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 11 ways as a sum of consecutive naturals, for example, 2979 + ... + 7100.

It is an arithmetic number, because the mean of its divisors is an integer number (2511600).

Almost surely, 2^20772819 is an apocalyptic number.

20772819 is a deficient number, since it is larger than the sum of its proper divisors (9366381).

20772819 is a wasteful number, since it uses less digits than its factorization.

20772819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10314 (or 10311 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 20772819 is about 4557.7208119849. The cubic root of 20772819 is about 274.8939271350.

The spelling of 20772819 in words is "twenty million, seven hundred seventy-two thousand, eight hundred nineteen".