80845 has 16 divisors (see below), whose sum is σ = 109440. Its totient is φ = 57024.

The previous prime is 80833. The next prime is 80849. The reversal of 80845 is 54808.

80845 = 56² + 57² + ... + 74².

It is a cyclic number.

It is not a de Polignac number, because 80845 - 2¹¹ = 78797 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80849) 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 15 ways as a sum of consecutive naturals, for example, 2167 + ... + 2203.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁸⁰⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

80845 is a deficient number, since it is larger than the sum of its proper divisors (28595).

80845 is a wasteful number, since it uses less digits than its factorization.

80845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84.

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 80845 is about 284.3325517770. The cubic root of 80845 is about 43.2398708835.

It can be divided in two parts, 80 and 845, that multiplied together give a square (67600 = 260²).

The spelling of 80845 in words is "eighty thousand, eight hundred forty-five".