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32213 is a prime number
BaseRepresentation
bin111110111010101
31122012002
413313111
52012323
6405045
7162626
oct76725
948162
1032213
1122225
1216785
131187c
14ba4d
159828
hex7dd5

32213 has 2 divisors, whose sum is σ = 32214. Its totient is φ = 32212.

The previous prime is 32203. The next prime is 32233. The reversal of 32213 is 31223.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31684 + 529 = 178^2 + 23^2 .

It is an emirp because it is prime and its reverse (31223) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32213 - 28 = 31957 is a prime.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 32194 and 32203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16106 + 16107.

It is an arithmetic number, because the mean of its divisors is an integer number (16107).

232213 is an apocalyptic number.

It is an amenable number.

32213 is a deficient number, since it is larger than the sum of its proper divisors (1).

32213 is an equidigital number, since it uses as much as digits as its factorization.

32213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 11.

The square root of 32213 is about 179.4798038778. The cubic root of 32213 is about 31.8183062456.

Adding to 32213 its reverse (31223), we get a palindrome (63436).

Subtracting from 32213 its reverse (31223), we obtain a triangular number (990 = T44).

It can be divided in two parts, 322 and 13, that multiplied together give a triangular number (4186 = T91).

The spelling of 32213 in words is "thirty-two thousand, two hundred thirteen".