867257 has 2 divisors, whose sum is σ = 867258. Its totient is φ = 867256.

The previous prime is 867253. The next prime is 867259. The reversal of 867257 is 752768.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 436921 + 430336 = 661^2 + 656^2 .

It is a cyclic number.

It is not a de Polignac number, because 867257 - 2² = 867253 is a prime.

Together with 867259, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₆₈₈₈₅ and since 867257 and 68885 have the same sum of digits, it is a Honaker prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 867257.

It is not a weakly prime, because it can be changed into another prime (867253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 433628 + 433629.

It is an arithmetic number, because the mean of its divisors is an integer number (433629).

2⁸⁶⁷²⁵⁷ is an apocalyptic number.

It is an amenable number.

867257 is a deficient number, since it is larger than the sum of its proper divisors (1).

867257 is an equidigital number, since it uses as much as digits as its factorization.

867257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23520, while the sum is 35.

The square root of 867257 is about 931.2663421385. The cubic root of 867257 is about 95.3635927982.

The spelling of 867257 in words is "eight hundred sixty-seven thousand, two hundred fifty-seven".