82312 has 8 divisors (see below), whose sum is σ = 154350. Its totient is φ = 41152.

The previous prime is 82307. The next prime is 82339. The reversal of 82312 is 21328.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 27556 = 234^2 + 166^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

82312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5137 + ... + 5152.

2⁸²³¹² is an apocalyptic number.

It is an amenable number.

82312 is a deficient number, since it is larger than the sum of its proper divisors (72038).

82312 is a wasteful number, since it uses less digits than its factorization.

82312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10295 (or 10291 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 82312 is about 286.9006796785. The cubic root of 82312 is about 43.4998458620.

Adding to 82312 its sum of digits (16), we get a palindrome (82328).

It can be divided in two parts, 8 and 2312, that multiplied together give a square (18496 = 136²).

The spelling of 82312 in words is "eighty-two thousand, three hundred twelve".