20824929 has 24 divisors (see below), whose sum is σ = 31572840. Its totient is φ = 13208832.

The previous prime is 20824927. The next prime is 20824933. The reversal of 20824929 is 92942802.

It can be written as a sum of positive squares in 4 ways, for example, as 10112400 + 10712529 = 3180^2 + 3273^2 .

It is not a de Polignac number, because 20824929 - 2¹ = 20824927 is a prime.

It is a super-3 number, since 3×20824929³ (a number of 23 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20824893 and 20824902.

It is not an unprimeable number, because it can be changed into a prime (20824927) 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 23 ways as a sum of consecutive naturals, for example, 18507 + ... + 19599.

It is an arithmetic number, because the mean of its divisors is an integer number (1315535).

Almost surely, 2^20824929 is an apocalyptic number.

20824929 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

20824929 is a deficient number, since it is larger than the sum of its proper divisors (10747911).

20824929 is a wasteful number, since it uses less digits than its factorization.

20824929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 20824929 is about 4563.4339044189. The cubic root of 20824929 is about 275.1235984350.

The spelling of 20824929 in words is "twenty million, eight hundred twenty-four thousand, nine hundred twenty-nine".