82207 has 2 divisors, whose sum is σ = 82208. Its totient is φ = 82206.

The previous prime is 82193. The next prime is 82217. The reversal of 82207 is 70228.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82207 is a prime.

It is equal to p₈₀₃₈ and since 82207 and 8038 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41103 + 41104.

It is an arithmetic number, because the mean of its divisors is an integer number (41104).

2⁸²²⁰⁷ is an apocalyptic number.

82207 is a deficient number, since it is larger than the sum of its proper divisors (1).

82207 is an equidigital number, since it uses as much as digits as its factorization.

82207 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 82207 is about 286.7176311286. The cubic root of 82207 is about 43.4813413614.

It can be divided in two parts, 82 and 207, that added together give a square (289 = 17²).

The spelling of 82207 in words is "eighty-two thousand, two hundred seven".