805249 has 2 divisors, whose sum is σ = 805250. Its totient is φ = 805248.

The previous prime is 805241. The next prime is 805267. The reversal of 805249 is 942508.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 628849 + 176400 = 793^2 + 420^2 .

It is a cyclic number.

It is not a de Polignac number, because 805249 - 2³ = 805241 is a prime.

805249 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (805241) 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, 402624 + 402625.

It is an arithmetic number, because the mean of its divisors is an integer number (402625).

2⁸⁰⁵²⁴⁹ is an apocalyptic number.

It is an amenable number.

805249 is a deficient number, since it is larger than the sum of its proper divisors (1).

805249 is an equidigital number, since it uses as much as digits as its factorization.

805249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 805249 is about 897.3566737925. The cubic root of 805249 is about 93.0343650700.

It can be divided in two parts, 80 and 5249, that added together give a square (5329 = 73²).

The spelling of 805249 in words is "eight hundred five thousand, two hundred forty-nine".