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11836961 is a prime number
BaseRepresentation
bin101101001001…
…111000100001
3211021101020222
4231021320201
511012240321
61101412425
7202420043
oct55117041
924241228
1011836961
116755314
123b6a115
1325b5a26
141801a93
15108c3ab
hexb49e21

11836961 has 2 divisors, whose sum is σ = 11836962. Its totient is φ = 11836960.

The previous prime is 11836919. The next prime is 11836963. The reversal of 11836961 is 16963811.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10923025 + 913936 = 3305^2 + 956^2 .

It is a cyclic number.

It is not a de Polignac number, because 11836961 - 210 = 11835937 is a prime.

It is a super-2 number, since 2×118369612 = 280227291431042, which contains 22 as substring.

Together with 11836963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (11836963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5918480 + 5918481.

It is an arithmetic number, because the mean of its divisors is an integer number (5918481).

Almost surely, 211836961 is an apocalyptic number.

It is an amenable number.

11836961 is a deficient number, since it is larger than the sum of its proper divisors (1).

11836961 is an equidigital number, since it uses as much as digits as its factorization.

11836961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 35.

The square root of 11836961 is about 3440.4884827594. The cubic root of 11836961 is about 227.9012666278.

The spelling of 11836961 in words is "eleven million, eight hundred thirty-six thousand, nine hundred sixty-one".