805365 has 24 divisors (see below), whose sum is σ = 1523808. Its totient is φ = 390240.

The previous prime is 805339. The next prime is 805369. The reversal of 805365 is 563508.

It is not a de Polignac number, because 805365 - 2⁵ = 805333 is a prime.

It is a super-2 number, since 2×805365² = 1297225566450, which contains 22 as substring.

805365 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319 + ... + 1308.

It is an arithmetic number, because the mean of its divisors is an integer number (63492).

2⁸⁰⁵³⁶⁵ is an apocalyptic number.

It is an amenable number.

805365 is a deficient number, since it is larger than the sum of its proper divisors (718443).

805365 is a wasteful number, since it uses less digits than its factorization.

805365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 805365 is about 897.4213057422. The cubic root of 805365 is about 93.0388322051.

It can be divided in two parts, 8053 and 65, that added together give a palindrome (8118).

The spelling of 805365 in words is "eight hundred five thousand, three hundred sixty-five".