10585123 has 2 divisors, whose sum is σ = 10585124. Its totient is φ = 10585122.

The previous prime is 10585121. The next prime is 10585139. The reversal of 10585123 is 32158501.

It is a happy number.

10585123 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10585123 - 2¹ = 10585121 is a prime.

It is a super-2 number, since 2×10585123² = 224089657850258, which contains 22 as substring.

Together with 10585121, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10585121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292561 + 5292562.

It is an arithmetic number, because the mean of its divisors is an integer number (5292562).

Almost surely, 2^10585123 is an apocalyptic number.

10585123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585123 is an equidigital number, since it uses as much as digits as its factorization.

10585123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 10585123 is about 3253.4785998989. The cubic root of 10585123 is about 219.5661076335.

The spelling of 10585123 in words is "ten million, five hundred eighty-five thousand, one hundred twenty-three".