83033 has 4 divisors (see below), whose sum is σ = 85008. Its totient is φ = 81060.
The previous prime is 83023. The next prime is 83047. The reversal of 83033 is 33038.
It is a happy number.
It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 33038 = 2 ⋅16519.
It is a cyclic number.
It is not a de Polignac number, because 83033 - 210 = 82009 is a prime.
It is a Duffinian number.
It is a plaindrome in base 14 and base 16.
It is not an unprimeable number, because it can be changed into a prime (83003) 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, 923 + ... + 1008.
It is an arithmetic number, because the mean of its divisors is an integer number (21252).
283033 is an apocalyptic number.
It is an amenable number.
83033 is a deficient number, since it is larger than the sum of its proper divisors (1975).
83033 is a wasteful number, since it uses less digits than its factorization.
83033 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1974.
The product of its (nonzero) digits is 216, while the sum is 17.
The square root of 83033 is about 288.1544724623. The cubic root of 83033 is about 43.6264870061.
The spelling of 83033 in words is "eighty-three thousand, thirty-three".
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