46683 has 32 divisors (see below), whose sum is σ = 89600. Its totient is φ = 23328.

The previous prime is 46681. The next prime is 46687. The reversal of 46683 is 38664.

Subtracting from 46683 its sum of digits (27), we obtain a 6-th power (46656 = 6^{6}).

It can be divided in two parts, 46 and 683, that added together give a 6-th power (729 = 3^{6}).

It is not a de Polignac number, because 46683 - 2^{1} = 46681 is a prime.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as **4** + **6** + **6**^{6} + **8** + **3**^{2} .

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 46683 = 3^{3} + 36^{3} = 27^{3} + 30^{3}.

Its product of digits (3456) is a multiple of the sum of its prime factors (48).

46683 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (46681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2448 + ... + 2466.

It is an arithmetic number, because the mean of its divisors is an integer number (2800).

2^{46683} is an apocalyptic number.

46683 is a deficient number, since it is larger than the sum of its proper divisors (42917).

46683 is a wasteful number, since it uses less digits than its factorization.

46683 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 42 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 46683 is about 216.0624909604. The cubic root of 46683 is about 36.0069431053.

The spelling of 46683 in words is "forty-six thousand, six hundred eighty-three".

Divisors: 1 3 7 9 13 19 21 27 39 57 63 91 117 133 171 189 247 273 351 399 513 741 819 1197 1729 2223 2457 3591 5187 6669 15561 46683

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