83213 has 8 divisors (see below), whose sum is σ = 92568. Its totient is φ = 74304.

The previous prime is 83207. The next prime is 83219. The reversal of 83213 is 31238.

It is an interprime number because it is at equal distance from previous prime (83207) and next prime (83219).

It can be written as a sum of positive squares in 4 ways, for example, as 31684 + 51529 = 178^2 + 227^2 .

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 83213 - 2¹⁰ = 82189 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 83191 and 83200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83219) 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, 395 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (11571).

2⁸³²¹³ is an apocalyptic number.

It is an amenable number.

83213 is a deficient number, since it is larger than the sum of its proper divisors (9355).

83213 is a wasteful number, since it uses less digits than its factorization.

83213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223.

The product of its digits is 144, while the sum is 17.

The square root of 83213 is about 288.4666358524. The cubic root of 83213 is about 43.6579889392.

It can be divided in two parts, 832 and 13, that multiplied together give a square (10816 = 104²).

The spelling of 83213 in words is "eighty-three thousand, two hundred thirteen".