10588161 has 16 divisors (see below), whose sum is σ = 15465600. Its totient is φ = 6413568.

The previous prime is 10588129. The next prime is 10588163. The reversal of 10588161 is 16188501.

It is a happy number.

It is not a de Polignac number, because 10588161 - 2⁵ = 10588129 is a prime.

It is a super-2 number, since 2×10588161² = 224218306723842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10588163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101 + ... + 5058.

It is an arithmetic number, because the mean of its divisors is an integer number (966600).

It is a Proth number, since it is equal to 2585 ⋅ 2¹² + 1 and 2585 < 2¹².

Almost surely, 2^10588161 is an apocalyptic number.

It is an amenable number.

10588161 is a deficient number, since it is larger than the sum of its proper divisors (4877439).

10588161 is a wasteful number, since it uses less digits than its factorization.

10588161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7208.

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 10588161 is about 3253.9454512945. The cubic root of 10588161 is about 219.5871112637.

The spelling of 10588161 in words is "ten million, five hundred eighty-eight thousand, one hundred sixty-one".