64617 has 16 divisors (see below), whose sum is σ = 104832. Its totient is φ = 34560.

The previous prime is 64613. The next prime is 64621. The reversal of 64617 is 71646.

It is an interprime number because it is at equal distance from previous prime (64613) and next prime (64621).

It is not a de Polignac number, because 64617 - 2² = 64613 is a prime.

It is not an unprimeable number, because it can be changed into a prime (64613) 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, 267 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2⁶⁴⁶¹⁷ is an apocalyptic number.

It is an amenable number.

64617 is a deficient number, since it is larger than the sum of its proper divisors (40215).

64617 is a wasteful number, since it uses less digits than its factorization.

64617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208.

The product of its digits is 1008, while the sum is 24.

The square root of 64617 is about 254.1987411456. The cubic root of 64617 is about 40.1281307909.

The spelling of 64617 in words is "sixty-four thousand, six hundred seventeen".