9186961 has 9 divisors (see below), whose sum is σ = 10711611. Its totient is φ = 7856352.

The previous prime is 9186929. The next prime is 9186971. The reversal of 9186961 is 1696819.

The square root of 9186961 is 3031.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1030225 + 8156736 = 1015^2 + 2856^2 .

It is not a de Polignac number, because 9186961 - 2⁵ = 9186929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9186971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21001 + ... + 21433.

It is an arithmetic number, because the mean of its divisors is an integer number (1190179).

Almost surely, 2^9186961 is an apocalyptic number.

9186961 is the 3031-st square number.

9186961 is the 1516-th centered octagonal number.

It is an amenable number.

9186961 is a deficient number, since it is larger than the sum of its proper divisors (1524650).

9186961 is an frugal number, since it uses more digits than its factorization.

9186961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 440 counting only the distinct ones).

The product of its digits is 23328, while the sum is 40.

The cubic root of 9186961 is about 209.4388723523.

The spelling of 9186961 in words is "nine million, one hundred eighty-six thousand, nine hundred sixty-one".