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11633 is a prime number
BaseRepresentation
bin10110101110001
3120221212
42311301
5333013
6125505
745626
oct26561
916855
1011633
118816
126895
1353ab
14434d
1536a8
hex2d71

11633 has 2 divisors, whose sum is σ = 11634. Its totient is φ = 11632.

The previous prime is 11621. The next prime is 11657. The reversal of 11633 is 33611.

It can be divided in two parts, 116 and 33, that multiplied together give a triangular number (3828 = T87).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10609 + 1024 = 103^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 11633 - 24 = 11617 is a prime.

It is not a weakly prime, because it can be changed into another prime (11833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5816 + 5817.

It is an arithmetic number, because the mean of its divisors is an integer number (5817).

211633 is an apocalyptic number.

It is an amenable number.

11633 is a deficient number, since it is larger than the sum of its proper divisors (1).

11633 is an equidigital number, since it uses as much as digits as its factorization.

11633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54, while the sum is 14.

The square root of 11633 is about 107.8563859955. The cubic root of 11633 is about 22.6584697389.

The spelling of 11633 in words is "eleven thousand, six hundred thirty-three".