801761 has 2 divisors, whose sum is σ = 801762. Its totient is φ = 801760.

The previous prime is 801733. The next prime is 801791. The reversal of 801761 is 167108.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 776161 + 25600 = 881^2 + 160^2 .

It is a cyclic number.

It is not a de Polignac number, because 801761 - 2¹⁴ = 785377 is a prime.

It is a super-2 number, since 2×801761² = 1285641402242, which contains 22 as substring.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 801761.

It is not a weakly prime, because it can be changed into another prime (801701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400880 + 400881.

It is an arithmetic number, because the mean of its divisors is an integer number (400881).

2⁸⁰¹⁷⁶¹ is an apocalyptic number.

It is an amenable number.

801761 is a deficient number, since it is larger than the sum of its proper divisors (1).

801761 is an equidigital number, since it uses as much as digits as its factorization.

801761 is an odious number, because the sum of its binary digits is odd.

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

The square root of 801761 is about 895.4110787789. The cubic root of 801761 is about 92.8998420698.

Adding to 801761 its reverse (167108), we get a palindrome (968869).

The spelling of 801761 in words is "eight hundred one thousand, seven hundred sixty-one".