80361 has 6 divisors (see below), whose sum is σ = 116090. Its totient is φ = 53568.

The previous prime is 80347. The next prime is 80363. The reversal of 80361 is 16308.

It can be written as a sum of positive squares in only one way, i.e., 47961 + 32400 = 219^2 + 180^2 .

It is not a de Polignac number, because 80361 - 2⁵ = 80329 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 80361.

It is not an unprimeable number, because it can be changed into a prime (80363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4456 + ... + 4473.

2⁸⁰³⁶¹ is an apocalyptic number.

It is an amenable number.

80361 is a deficient number, since it is larger than the sum of its proper divisors (35729).

80361 is a wasteful number, since it uses less digits than its factorization.

80361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8935 (or 8932 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 80361 is about 283.4801580358. The cubic root of 80361 is about 43.1534091323.

Adding to 80361 its reverse (16308), we get a palindrome (96669).

It can be divided in two parts, 80 and 361, that added together give a square (441 = 21²).

The spelling of 80361 in words is "eighty thousand, three hundred sixty-one".