40801 has 2 divisors, whose sum is σ = 40802. Its totient is φ = 40800.

The previous prime is 40787. The next prime is 40813. The reversal of 40801 is 10804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40401 + 400 = 201^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 40801 - 2⁹ = 40289 is a prime.

It is not a weakly prime, because it can be changed into another prime (40841) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20400 + 20401.

It is an arithmetic number, because the mean of its divisors is an integer number (20401).

2⁴⁰⁸⁰¹ is an apocalyptic number.

It is an amenable number.

40801 is a deficient number, since it is larger than the sum of its proper divisors (1).

40801 is an equidigital number, since it uses as much as digits as its factorization.

40801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 40801 is about 201.9925741209. The cubic root of 40801 is about 34.4262936705.

It can be divided in two parts, 40 and 801, that added together give a square (841 = 29²).

The spelling of 40801 in words is "forty thousand, eight hundred one".