80145 has 24 divisors (see below), whose sum is σ = 150696. Its totient is φ = 39168.

The previous prime is 80141. The next prime is 80147. The reversal of 80145 is 54108.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 77841 = 48^2 + 279^2 .

It is not a de Polignac number, because 80145 - 2² = 80141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80141) 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 in 23 ways as a sum of consecutive naturals, for example, 517 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (6279).

2⁸⁰¹⁴⁵ is an apocalyptic number.

It is an amenable number.

80145 is a deficient number, since it is larger than the sum of its proper divisors (70551).

80145 is a wasteful number, since it uses less digits than its factorization.

80145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 80145 is about 283.0989226401. The cubic root of 80145 is about 43.1147108408.

It can be divided in two parts, 80 and 145, that added together give a square (225 = 15²).

The spelling of 80145 in words is "eighty thousand, one hundred forty-five".