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9897961 = 172291181
BaseRepresentation
bin100101110000…
…011111101001
3200121212110011
4211300133221
510013213321
6552051521
7150063013
oct45603751
920555404
109897961
115650537
123393ba1
1320872a8
1414591b3
15d07ae1
hex9707e9

9897961 has 12 divisors (see below), whose sum is σ = 10886220. Its totient is φ = 8986880.

The previous prime is 9897941. The next prime is 9897971. The reversal of 9897961 is 1697989.

It can be written as a sum of positive squares in 6 ways, for example, as 2742336 + 7155625 = 1656^2 + 2675^2 .

It is not a de Polignac number, because 9897961 - 25 = 9897929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9897931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7791 + ... + 8971.

It is an arithmetic number, because the mean of its divisors is an integer number (907185).

Almost surely, 29897961 is an apocalyptic number.

It is an amenable number.

9897961 is a deficient number, since it is larger than the sum of its proper divisors (988259).

9897961 is a wasteful number, since it uses less digits than its factorization.

9897961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1227 counting only the distinct ones).

The product of its digits is 244944, while the sum is 49.

The square root of 9897961 is about 3146.1025094552. The cubic root of 9897961 is about 214.7081744747.

The spelling of 9897961 in words is "nine million, eight hundred ninety-seven thousand, nine hundred sixty-one".

Divisors: 1 17 29 289 493 1181 8381 20077 34249 341309 582233 9897961