80901 has 12 divisors (see below), whose sum is σ = 119340. Its totient is φ = 52800.

The previous prime is 80897. The next prime is 80909. The reversal of 80901 is 10908.

Added to its reverse (10908) it gives a square (91809 = 303²).

It can be written as a sum of positive squares in 2 ways, for example, as 50625 + 30276 = 225^2 + 174^2 .

It is not a de Polignac number, because 80901 - 2² = 80897 is a prime.

It is an Ulam number.

80901 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80909) 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 11 ways as a sum of consecutive naturals, for example, 751 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (9945).

2⁸⁰⁹⁰¹ is an apocalyptic number.

It is an amenable number.

80901 is a deficient number, since it is larger than the sum of its proper divisors (38439).

80901 is a wasteful number, since it uses less digits than its factorization.

80901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 80901 is about 284.4310109675. The cubic root of 80901 is about 43.2498524280.

Adding to 80901 its reverse (10908), we get a square (91809 = 303²).

The spelling of 80901 in words is "eighty thousand, nine hundred one".