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9506961 = 321762137
BaseRepresentation
bin100100010001…
…000010010001
3122220000002200
4210101002101
54413210321
6535433413
7143544042
oct44210221
918800080
109506961
1154037a2
123225869
131c7b329
1413968c9
15c7bd26
hex911091

9506961 has 12 divisors (see below), whose sum is σ = 14540292. Its totient is φ = 5965056.

The previous prime is 9506953. The next prime is 9506963. The reversal of 9506961 is 1696059.

It can be written as a sum of positive squares in 2 ways, for example, as 7700625 + 1806336 = 2775^2 + 1344^2 .

It is not a de Polignac number, because 9506961 - 23 = 9506953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9506963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30916 + ... + 31221.

It is an arithmetic number, because the mean of its divisors is an integer number (1211691).

Almost surely, 29506961 is an apocalyptic number.

It is an amenable number.

9506961 is a deficient number, since it is larger than the sum of its proper divisors (5033331).

9506961 is a wasteful number, since it uses less digits than its factorization.

9506961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62160 (or 62157 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 9506961 is about 3083.3360180168. The cubic root of 9506961 is about 211.8428956499.

The spelling of 9506961 in words is "nine million, five hundred six thousand, nine hundred sixty-one".

Divisors: 1 3 9 17 51 153 62137 186411 559233 1056329 3168987 9506961