47633 has 8 divisors (see below), whose sum is σ = 52800. Its totient is φ = 42768.
The previous prime is 47629. The next prime is 47639. The reversal of 47633 is 33674.
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is not a de Polignac number, because 47633 - 22 = 47629 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (23).
It is a Duffinian number.
It is a Curzon number.
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 47599 and 47608.
It is not an unprimeable number, because it can be changed into a prime (47639) 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 7 ways as a sum of consecutive naturals, for example, 383 + ... + 491.
It is an arithmetic number, because the mean of its divisors is an integer number (6600).
247633 is an apocalyptic number.
It is an amenable number.
47633 is a deficient number, since it is larger than the sum of its proper divisors (5167).
47633 is a wasteful number, since it uses less digits than its factorization.
47633 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 151.
The product of its digits is 1512, while the sum is 23.
The square root of 47633 is about 218.2498568155. The cubic root of 47633 is about 36.2495521150.
The spelling of 47633 in words is "forty-seven thousand, six hundred thirty-three".
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