63664441 has 9 divisors (see below), whose sum is σ = 65125263. Its totient is φ = 62236200.

The previous prime is 63664429. The next prime is 63664451. The reversal of 63664441 is 14446636.

The square root of 63664441 is 7979.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 61168041 + 2496400 = 7821^2 + 1580^2 .

It is not a de Polignac number, because 63664441 - 2⁵ = 63664409 is a prime.

It is a super-2 number, since 2×63664441² = 8106322095684962, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 63664397 and 63664406.

It is not an unprimeable number, because it can be changed into a prime (63664411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 630291 + ... + 630391.

Almost surely, 2^63664441 is an apocalyptic number.

63664441 is the 7979-th square number.

63664441 is the 3990-th centered octagonal number.

It is an amenable number.

63664441 is a deficient number, since it is larger than the sum of its proper divisors (1460822).

63664441 is an frugal number, since it uses more digits than its factorization.

63664441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 180 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The cubic root of 63664441 is about 399.2996933922.

The spelling of 63664441 in words is "sixty-three million, six hundred sixty-four thousand, four hundred forty-one".