82373 has 2 divisors, whose sum is σ = 82374. Its totient is φ = 82372.

The previous prime is 82361. The next prime is 82387. The reversal of 82373 is 37328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82369 + 4 = 287^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 82373 - 2¹⁰ = 81349 is a prime.

It is a super-2 number, since 2×82373² = 13570622258, which contains 22 as substring.

It is a d-powerful number, because it can be written as 8⁵ + 2¹⁵ + 3 + 7⁵ + 3³ .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82393) 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 as a sum of consecutive naturals, namely, 41186 + 41187.

It is an arithmetic number, because the mean of its divisors is an integer number (41187).

2⁸²³⁷³ is an apocalyptic number.

It is an amenable number.

82373 is a deficient number, since it is larger than the sum of its proper divisors (1).

82373 is an equidigital number, since it uses as much as digits as its factorization.

82373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 23.

The square root of 82373 is about 287.0069685565. The cubic root of 82373 is about 43.5105888698.

The spelling of 82373 in words is "eighty-two thousand, three hundred seventy-three".