21738753 has 32 divisors (see below), whose sum is σ = 33390720. Its totient is φ = 13970880.

The previous prime is 21738751. The next prime is 21738763. The reversal of 21738753 is 35783712.

It is not a de Polignac number, because 21738753 - 2¹ = 21738751 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21738751) 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 31 ways as a sum of consecutive naturals, for example, 110251 + ... + 110447.

It is an arithmetic number, because the mean of its divisors is an integer number (1043460).

Almost surely, 2^21738753 is an apocalyptic number.

It is an amenable number.

21738753 is a deficient number, since it is larger than the sum of its proper divisors (11651967).

21738753 is a wasteful number, since it uses less digits than its factorization.

21738753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 21738753 is about 4662.4835656547. The cubic root of 21738753 is about 279.0903857920.

The spelling of 21738753 in words is "twenty-one million, seven hundred thirty-eight thousand, seven hundred fifty-three".