32801 has 2 divisors, whose sum is σ = 32802. Its totient is φ = 32800.

The previous prime is 32797. The next prime is 32803. The reversal of 32801 is 10823.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22801 + 10000 = 151^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 32801 - 2² = 32797 is a prime.

Together with 32803, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32801.

It is not a weakly prime, because it can be changed into another prime (32803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16400 + 16401.

It is an arithmetic number, because the mean of its divisors is an integer number (16401).

2³²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

32801 is a deficient number, since it is larger than the sum of its proper divisors (1).

32801 is an equidigital number, since it uses as much as digits as its factorization.

32801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 32801 is about 181.1104635299. The cubic root of 32801 is about 32.0107385834.

The spelling of 32801 in words is "thirty-two thousand, eight hundred one".