10000609 has 2 divisors, whose sum is σ = 10000610. Its totient is φ = 10000608.

The previous prime is 10000591. The next prime is 10000643. The reversal of 10000609 is 90600001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9784384 + 216225 = 3128^2 + 465^2 .

It is an emirp because it is prime and its reverse (90600001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10000609 - 2⁷ = 10000481 is a prime.

It is a super-3 number, since 3×10000609³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10000592 and 10000601.

It is not a weakly prime, because it can be changed into another prime (10009609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000304 + 5000305.

It is an arithmetic number, because the mean of its divisors is an integer number (5000305).

Almost surely, 2^10000609 is an apocalyptic number.

It is an amenable number.

10000609 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000609 is an equidigital number, since it uses as much as digits as its factorization.

10000609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 10000609 is about 3162.3739500571. The cubic root of 10000609 is about 215.4478424168.

It can be divided in two parts, 10000 and 609, that added together give a square (10609 = 103²).

The spelling of 10000609 in words is "ten million, six hundred nine", and thus it is an aban number.