21264113 has 8 divisors (see below), whose sum is σ = 22985256. Its totient is φ = 19555200.

The previous prime is 21264101. The next prime is 21264119. The reversal of 21264113 is 31146212.

It can be written as a sum of positive squares in 4 ways, for example, as 4804864 + 16459249 = 2192^2 + 4057^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21264113 - 2¹⁰ = 21263089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21264119) 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 7 ways as a sum of consecutive naturals, for example, 743 + ... + 6563.

It is an arithmetic number, because the mean of its divisors is an integer number (2873157).

Almost surely, 2^21264113 is an apocalyptic number.

It is an amenable number.

21264113 is a deficient number, since it is larger than the sum of its proper divisors (1721143).

21264113 is a wasteful number, since it uses less digits than its factorization.

21264113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115.

The product of its digits is 288, while the sum is 20.

The square root of 21264113 is about 4611.3027443446. The cubic root of 21264113 is about 277.0442178539.

The spelling of 21264113 in words is "twenty-one million, two hundred sixty-four thousand, one hundred thirteen".