46664 has 16 divisors (see below), whose sum is σ = 92400. Its totient is φ = 22032.

The previous prime is 46663. The next prime is 46679.

46664 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (46663) 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 3 ways as a sum of consecutive naturals, for example, 2 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (5775).

46664 is a Friedman number, since it can be written as 6^6+4*(6-4), using all its digits and the basic arithmetic operations.

2^{46664} is an apocalyptic number.

It is an amenable number.

46664 is a deficient number, since it is larger than the sum of its proper divisors (45736).

46664 is a wasteful number, since it uses less digits than its factorization.

46664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 46664 is about 216.0185177248. The cubic root of 46664 is about 36.0020574956.

The spelling of 46664 in words is "forty-six thousand, six hundred sixty-four".

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