82310257 has 2 divisors, whose sum is σ = 82310258. Its totient is φ = 82310256.

The previous prime is 82310227. The next prime is 82310281. The reversal of 82310257 is 75201328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64256256 + 18054001 = 8016^2 + 4249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82310257 is a prime.

It is a Chen prime.

It is the 9073-rd Hogben number.

It is not a weakly prime, because it can be changed into another prime (82310227) by changing a digit.

It is a nontrivial repunit in base 9072.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41155128 + 41155129.

It is an arithmetic number, because the mean of its divisors is an integer number (41155129).

Almost surely, 2^82310257 is an apocalyptic number.

It is an amenable number.

82310257 is a deficient number, since it is larger than the sum of its proper divisors (1).

82310257 is an equidigital number, since it uses as much as digits as its factorization.

82310257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 82310257 is about 9072.5000413337. The cubic root of 82310257 is about 434.9953881574.

The spelling of 82310257 in words is "eighty-two million, three hundred ten thousand, two hundred fifty-seven".