47233 has 4 divisors (see below), whose sum is σ = 47700. Its totient is φ = 46768.

The previous prime is 47221. The next prime is 47237. The reversal of 47233 is 33274.

47233 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 3969 + 43264 = 63^2 + 208^2 .

It is a cyclic number.

It is not a de Polignac number, because 47233 - 2¹³ = 39041 is a prime.

It is a Duffinian number.

47233 is a lucky number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 47233.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47237) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10 + ... + 307.

It is an arithmetic number, because the mean of its divisors is an integer number (11925).

2⁴⁷²³³ is an apocalyptic number.

It is an amenable number.

47233 is a deficient number, since it is larger than the sum of its proper divisors (467).

47233 is a wasteful number, since it uses less digits than its factorization.

47233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466.

The product of its digits is 504, while the sum is 19.

The square root of 47233 is about 217.3315439599. The cubic root of 47233 is about 36.1477977369.

It can be divided in two parts, 472 and 33, that multiplied together give a triangular number (15576 = T₁₇₆).

The spelling of 47233 in words is "forty-seven thousand, two hundred thirty-three".