805537 has 2 divisors, whose sum is σ = 805538. Its totient is φ = 805536.

The previous prime is 805531. The next prime is 805559. The reversal of 805537 is 735508.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 583696 + 221841 = 764^2 + 471^2 .

It is a cyclic number.

It is not a de Polignac number, because 805537 - 2¹⁹ = 281249 is a prime.

It is equal to p₆₄₃₆₉ and since 805537 and 64369 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (805531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 402768 + 402769.

It is an arithmetic number, because the mean of its divisors is an integer number (402769).

2⁸⁰⁵⁵³⁷ is an apocalyptic number.

It is an amenable number.

805537 is a deficient number, since it is larger than the sum of its proper divisors (1).

805537 is an equidigital number, since it uses as much as digits as its factorization.

805537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 805537 is about 897.5171307557. The cubic root of 805537 is about 93.0454550987.

The spelling of 805537 in words is "eight hundred five thousand, five hundred thirty-seven".