66417 has 12 divisors (see below), whose sum is σ = 96624. Its totient is φ = 40560.

The previous prime is 66413. The next prime is 66431. The reversal of 66417 is 71466.

It is not a de Polignac number, because 66417 - 2² = 66413 is a prime.

It is a super-2 number, since 2×66417² = 8822435778, which contains 22 as substring.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (66413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (8052).

2⁶⁶⁴¹⁷ is an apocalyptic number.

It is an amenable number.

66417 is a deficient number, since it is larger than the sum of its proper divisors (30207).

66417 is a wasteful number, since it uses less digits than its factorization.

66417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

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

The square root of 66417 is about 257.7149588208. The cubic root of 66417 is about 40.4973325480.

The spelling of 66417 in words is "sixty-six thousand, four hundred seventeen".