80405 has 8 divisors (see below), whose sum is σ = 103992. Its totient is φ = 59328.

The previous prime is 80387. The next prime is 80407. The reversal of 80405 is 50408.

It can be written as a sum of positive squares in 4 ways, for example, as 5329 + 75076 = 73^2 + 274^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 80405 - 2⁶ = 80341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (12999).

2⁸⁰⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

80405 is a deficient number, since it is larger than the sum of its proper divisors (23587).

80405 is a wasteful number, since it uses less digits than its factorization.

80405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 80405 is about 283.5577542583. The cubic root of 80405 is about 43.1612836136.

It can be divided in two parts, 80 and 405, that multiplied together give a square (32400 = 180²).

The spelling of 80405 in words is "eighty thousand, four hundred five".