47673 has 6 divisors (see below), whose sum is σ = 68874. Its totient is φ = 31776.

The previous prime is 47659. The next prime is 47681. The reversal of 47673 is 37674.

It can be written as a sum of positive squares in only one way, i.e., 45369 + 2304 = 213^2 + 48^2 .

It is not a de Polignac number, because 47673 - 2⁴ = 47657 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 4⁶ + 7⁵ + 6⁵ + 7⁵ + 3⁷ .

It is not an unprimeable number, because it can be changed into a prime (47623) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2640 + ... + 2657.

It is an arithmetic number, because the mean of its divisors is an integer number (11479).

2⁴⁷⁶⁷³ is an apocalyptic number.

It is an amenable number.

47673 is a deficient number, since it is larger than the sum of its proper divisors (21201).

47673 is a wasteful number, since it uses less digits than its factorization.

47673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5300 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 47673 is about 218.3414756751. The cubic root of 47673 is about 36.2596961775.

Subtracting from 47673 its reverse (37674), we obtain a palindrome (9999).

The spelling of 47673 in words is "forty-seven thousand, six hundred seventy-three".