64217313 has 16 divisors (see below), whose sum is σ = 100733760. Its totient is φ = 40292928.

The previous prime is 64217269. The next prime is 64217317. The reversal of 64217313 is 31371246.

64217313 is a `hidden beast` number, since 642 + 1 + 7 + 3 + 13 = 666.

It is not a de Polignac number, because 64217313 - 2⁶ = 64217249 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (64217317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69495 + ... + 70412.

It is an arithmetic number, because the mean of its divisors is an integer number (6295860).

Almost surely, 2^64217313 is an apocalyptic number.

It is an amenable number.

64217313 is a deficient number, since it is larger than the sum of its proper divisors (36516447).

64217313 is a wasteful number, since it uses less digits than its factorization.

64217313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139933 (or 139927 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 64217313 is about 8013.5705525065. The cubic root of 64217313 is about 400.4522239577.

Adding to 64217313 its reverse (31371246), we get a palindrome (95588559).

It can be divided in two parts, 642 and 17313, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 64217313 in words is "sixty-four million, two hundred seventeen thousand, three hundred thirteen".