21763825 has 24 divisors (see below), whose sum is σ = 29295000. Its totient is φ = 15974400.

The previous prime is 21763823. The next prime is 21763849. The reversal of 21763825 is 52836712.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9345249 + 12418576 = 3057^2 + 3524^2 .

It is not a de Polignac number, because 21763825 - 2¹ = 21763823 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21763823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16801 + ... + 18049.

It is an arithmetic number, because the mean of its divisors is an integer number (1220625).

Almost surely, 2^21763825 is an apocalyptic number.

21763825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21763825 is a deficient number, since it is larger than the sum of its proper divisors (7531175).

21763825 is a wasteful number, since it uses less digits than its factorization.

21763825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1312 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 21763825 is about 4665.1714866658. The cubic root of 21763825 is about 279.1976391962.

The spelling of 21763825 in words is "twenty-one million, seven hundred sixty-three thousand, eight hundred twenty-five".