52821 has 6 divisors (see below), whose sum is σ = 76310. Its totient is φ = 35208.
The previous prime is 52817. The next prime is 52837. The reversal of 52821 is 12825.
It can be written as a sum of positive squares in only one way, i.e., 34596 + 18225 = 186^2 + 135^2 .
It is not a de Polignac number, because 52821 - 22 = 52817 is a prime.
It is a Duffinian number.
It is a plaindrome in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 52794 and 52803.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (52861) 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, 2926 + ... + 2943.
252821 is an apocalyptic number.
It is an amenable number.
52821 is a deficient number, since it is larger than the sum of its proper divisors (23489).
52821 is a wasteful number, since it uses less digits than its factorization.
52821 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5875 (or 5872 counting only the distinct ones).
The product of its digits is 160, while the sum is 18.
The square root of 52821 is about 229.8281967035. The cubic root of 52821 is about 37.5205221004.
The spelling of 52821 in words is "fifty-two thousand, eight hundred twenty-one".
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