21964041 has 48 divisors (see below), whose sum is σ = 36644160. Its totient is φ = 13151160.

The previous prime is 21964037. The next prime is 21964067. The reversal of 21964041 is 14046912.

21964041 is a `hidden beast` number, since 2 + 19 + 640 + 4 + 1 = 666.

It is not a de Polignac number, because 21964041 - 2² = 21964037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21963996 and 21964014.

It is not an unprimeable number, because it can be changed into a prime (21964031) 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 47 ways as a sum of consecutive naturals, for example, 264586 + ... + 264668.

It is an arithmetic number, because the mean of its divisors is an integer number (763420).

Almost surely, 2^21964041 is an apocalyptic number.

It is an amenable number.

21964041 is a deficient number, since it is larger than the sum of its proper divisors (14680119).

21964041 is an frugal number, since it uses more digits than its factorization.

21964041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21964041 is about 4686.5809499037. The cubic root of 21964041 is about 280.0511853704.

The spelling of 21964041 in words is "twenty-one million, nine hundred sixty-four thousand, forty-one".