847601 has 2 divisors, whose sum is σ = 847602. Its totient is φ = 847600.

The previous prime is 847589. The next prime is 847607. The reversal of 847601 is 106748.

847601 = 25⁴ + 26⁴.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456976 + 390625 = 676^2 + 625^2 .

It is a cyclic number.

It is not a de Polignac number, because 847601 - 2⁶ = 847537 is a prime.

It is equal to p₆₇₄₄₅ and since 847601 and 67445 have the same sum of digits, it is a Honaker prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 847601.

It is not a weakly prime, because it can be changed into another prime (847607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 423800 + 423801.

It is an arithmetic number, because the mean of its divisors is an integer number (423801).

2⁸⁴⁷⁶⁰¹ is an apocalyptic number.

It is an amenable number.

847601 is a deficient number, since it is larger than the sum of its proper divisors (1).

847601 is an equidigital number, since it uses as much as digits as its factorization.

847601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 847601 is about 920.6524860120. The cubic root of 847601 is about 94.6376222367.

The spelling of 847601 in words is "eight hundred forty-seven thousand, six hundred one".