10005089 has 2 divisors, whose sum is σ = 10005090. Its totient is φ = 10005088.

The previous prime is 10005053. The next prime is 10005091. The reversal of 10005089 is 98050001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5678689 + 4326400 = 2383^2 + 2080^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005089 - 2⁸ = 10004833 is a prime.

Together with 10005091, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10005019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002544 + 5002545.

It is an arithmetic number, because the mean of its divisors is an integer number (5002545).

Almost surely, 2^10005089 is an apocalyptic number.

It is an amenable number.

10005089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005089 is an equidigital number, since it uses as much as digits as its factorization.

10005089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 10005089 is about 3163.0821993745. The cubic root of 10005089 is about 215.4800091992.

The spelling of 10005089 in words is "ten million, five thousand, eighty-nine".