32401 has 2 divisors, whose sum is σ = 32402. Its totient is φ = 32400.

The previous prime is 32381. The next prime is 32411. The reversal of 32401 is 10423.

It is a Cunningham number, because it is equal to 180²+1.

It is an a-pointer prime, because the next prime (32411) can be obtained adding 32401 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 1 = 180^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 32401 - 2⁵ = 32369 is a prime.

It is a nialpdrome in base 8.

It is not a weakly prime, because it can be changed into another prime (32411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16200 + 16201.

It is an arithmetic number, because the mean of its divisors is an integer number (16201).

2³²⁴⁰¹ is an apocalyptic number.

32401 is the 81-st centered decagonal number.

It is an amenable number.

32401 is a deficient number, since it is larger than the sum of its proper divisors (1).

32401 is an equidigital number, since it uses as much as digits as its factorization.

32401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 32401 is about 180.0027777563. The cubic root of 32401 is about 31.8800850531.

Adding to 32401 its reverse (10423), we get a palindrome (42824).

The spelling of 32401 in words is "thirty-two thousand, four hundred one".