801337 has 2 divisors, whose sum is σ = 801338. Its totient is φ = 801336.

The previous prime is 801331. The next prime is 801341. The reversal of 801337 is 733108.

801337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 781456 + 19881 = 884^2 + 141^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-801337 is a prime.

It is not a weakly prime, because it can be changed into another prime (801331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400668 + 400669.

It is an arithmetic number, because the mean of its divisors is an integer number (400669).

2⁸⁰¹³³⁷ is an apocalyptic number.

It is an amenable number.

801337 is a deficient number, since it is larger than the sum of its proper divisors (1).

801337 is an equidigital number, since it uses as much as digits as its factorization.

801337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 801337 is about 895.1742847066. The cubic root of 801337 is about 92.8834629250.

The spelling of 801337 in words is "eight hundred one thousand, three hundred thirty-seven".