65638417 has 12 divisors (see below), whose sum is σ = 72817164. Its totient is φ = 59105280.

The previous prime is 65638409. The next prime is 65638429. The reversal of 65638417 is 71483656.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8242641 + 57395776 = 2871^2 + 7576^2 .

It is not a de Polignac number, because 65638417 - 2³ = 65638409 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 65638417.

It is not an unprimeable number, because it can be changed into a prime (65638457) 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 11 ways as a sum of consecutive naturals, for example, 2193 + ... + 11665.

It is an arithmetic number, because the mean of its divisors is an integer number (6068097).

Almost surely, 2^65638417 is an apocalyptic number.

It is an amenable number.

65638417 is a deficient number, since it is larger than the sum of its proper divisors (7178747).

65638417 is a wasteful number, since it uses less digits than its factorization.

65638417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9540 (or 9527 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 65638417 is about 8101.7539459058. The cubic root of 65638417 is about 403.3846483595.

The spelling of 65638417 in words is "sixty-five million, six hundred thirty-eight thousand, four hundred seventeen".