801617 has 2 divisors, whose sum is σ = 801618. Its totient is φ = 801616.

The previous prime is 801611. The next prime is 801631. The reversal of 801617 is 716108.

801617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 638401 + 163216 = 799^2 + 404^2 .

It is a cyclic number.

It is not a de Polignac number, because 801617 - 2¹⁰ = 800593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 801592 and 801601.

It is not a weakly prime, because it can be changed into another prime (801611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400808 + 400809.

It is an arithmetic number, because the mean of its divisors is an integer number (400809).

2⁸⁰¹⁶¹⁷ is an apocalyptic number.

It is an amenable number.

801617 is a deficient number, since it is larger than the sum of its proper divisors (1).

801617 is an equidigital number, since it uses as much as digits as its factorization.

801617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 801617 is about 895.3306651735. The cubic root of 801617 is about 92.8942799891.

The spelling of 801617 in words is "eight hundred one thousand, six hundred seventeen".