8643601 has 4 divisors (see below), whose sum is σ = 8680932. Its totient is φ = 8606272.

The previous prime is 8643589. The next prime is 8643619. The reversal of 8643601 is 1063468.

8643601 = T₂₃₉₉ + T₂₄₀₀ + T₂₄₀₁.

It is a Cunningham number, because it is equal to 2940²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1752976 + 6890625 = 1324^2 + 2625^2 .

It is a cyclic number.

It is not a de Polignac number, because 8643601 - 2¹³ = 8635409 is a prime.

It is a Duffinian number.

8643601 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8643601.

It is not an unprimeable number, because it can be changed into a prime (8643631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18316 + ... + 18781.

It is an arithmetic number, because the mean of its divisors is an integer number (2170233).

Almost surely, 2^8643601 is an apocalyptic number.

8643601 is the 2401-st centered triangular number.

It is an amenable number.

8643601 is a deficient number, since it is larger than the sum of its proper divisors (37331).

8643601 is a wasteful number, since it uses less digits than its factorization.

8643601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37330.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 8643601 is about 2940.0001700680. Note that the first 3 decimals coincide. The cubic root of 8643601 is about 205.2256171573.

It can be divided in two parts, 864 and 3601, that added together give a triangular number (4465 = T₉₄).

The spelling of 8643601 in words is "eight million, six hundred forty-three thousand, six hundred one".