801461 has 2 divisors, whose sum is σ = 801462. Its totient is φ = 801460.

The previous prime is 801421. The next prime is 801469. The reversal of 801461 is 164108.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 722500 + 78961 = 850^2 + 281^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-801461 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 801461.

It is not a weakly prime, because it can be changed into another prime (801469) 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, 400730 + 400731.

It is an arithmetic number, because the mean of its divisors is an integer number (400731).

2⁸⁰¹⁴⁶¹ is an apocalyptic number.

It is an amenable number.

801461 is a deficient number, since it is larger than the sum of its proper divisors (1).

801461 is an equidigital number, since it uses as much as digits as its factorization.

801461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 801461 is about 895.2435422833. The cubic root of 801461 is about 92.8882536499. Note that the first 3 decimals are identical.

Adding to 801461 its reverse (164108), we get a palindrome (965569).

The spelling of 801461 in words is "eight hundred one thousand, four hundred sixty-one".