14801 has 6 divisors (see below), whose sum is σ = 16002. Its totient is φ = 13680.

The previous prime is 14797. The next prime is 14813. The reversal of 14801 is 10841.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9025 + 5776 = 95^2 + 76^2 .

It is not a de Polignac number, because 14801 - 2² = 14797 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14801.

It is not an unprimeable number, because it can be changed into a prime (14821) 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, 341 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (2667).

2¹⁴⁸⁰¹ is an apocalyptic number.

It is an amenable number.

14801 is a deficient number, since it is larger than the sum of its proper divisors (1201).

14801 is an equidigital number, since it uses as much as digits as its factorization.

14801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 14801 is about 121.6593605112. The cubic root of 14801 is about 24.5525734848.

The spelling of 14801 in words is "fourteen thousand, eight hundred one".