20823825 has 48 divisors (see below), whose sum is σ = 38497536. Its totient is φ = 9844800.

The previous prime is 20823767. The next prime is 20823833. The reversal of 20823825 is 52832802.

It is not a de Polignac number, because 20823825 - 2¹⁶ = 20758289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20823792 and 20823801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35182 + ... + 35768.

It is an arithmetic number, because the mean of its divisors is an integer number (802032).

Almost surely, 2^20823825 is an apocalyptic number.

20823825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20823825 is a deficient number, since it is larger than the sum of its proper divisors (17673711).

20823825 is a wasteful number, since it uses less digits than its factorization.

20823825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 20823825 is about 4563.3129412741. The cubic root of 20823825 is about 275.1187366046.

The spelling of 20823825 in words is "twenty million, eight hundred twenty-three thousand, eight hundred twenty-five".