10585949 has 8 divisors (see below), whose sum is σ = 11707392. Its totient is φ = 9491040.

The previous prime is 10585931. The next prime is 10585969. The reversal of 10585949 is 94958501.

It is a happy number.

10585949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10585949 is a prime.

It is a super-2 number, since 2×10585949² = 224124632461202, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5789 + ... + 7394.

It is an arithmetic number, because the mean of its divisors is an integer number (1463424).

Almost surely, 2^10585949 is an apocalyptic number.

It is an amenable number.

10585949 is a deficient number, since it is larger than the sum of its proper divisors (1121443).

10585949 is a wasteful number, since it uses less digits than its factorization.

10585949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13267.

The product of its (nonzero) digits is 64800, while the sum is 41.

The square root of 10585949 is about 3253.6055384757. The cubic root of 10585949 is about 219.5718186957.

It can be divided in two parts, 1058 and 5949, that added together give a palindrome (7007).

The spelling of 10585949 in words is "ten million, five hundred eighty-five thousand, nine hundred forty-nine".