705601 has 4 divisors (see below), whose sum is σ = 759892. Its totient is φ = 651312.

The previous prime is 705559. The next prime is 705613. The reversal of 705601 is 106507.

It is a Cunningham number, because it is equal to 840²+1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 106507 = 73 ⋅1459.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 600625 = 324^2 + 775^2 .

It is a cyclic number.

It is not a de Polignac number, because 705601 - 2¹³ = 697409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (705631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27126 + ... + 27151.

It is an arithmetic number, because the mean of its divisors is an integer number (189973).

2⁷⁰⁵⁶⁰¹ is an apocalyptic number.

It is an amenable number.

705601 is a deficient number, since it is larger than the sum of its proper divisors (54291).

705601 is a wasteful number, since it uses less digits than its factorization.

705601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54290.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 705601 is about 840.0005952379. Note that the first 3 decimals coincide. The cubic root of 705601 is about 89.0265880248.

It can be divided in two parts, 70 and 5601, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 705601 in words is "seven hundred five thousand, six hundred one".