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2123663 is a prime number
BaseRepresentation
bin1000000110011110001111
310222220010012
420012132033
51020424123
6113303435
724023303
oct10063617
93886105
102123663
1112205a3
12864b7b
13594809
143d3d03
152be378
hex20678f

2123663 has 2 divisors, whose sum is σ = 2123664. Its totient is φ = 2123662.

The previous prime is 2123617. The next prime is 2123669. The reversal of 2123663 is 3663212.

2123663 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2123663 is a prime.

It is a d-powerful number, because it can be written as 211 + 1 + 221 + 37 + 64 + 64 + 39 .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2123669) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061831 + 1061832.

It is an arithmetic number, because the mean of its divisors is an integer number (1061832).

22123663 is an apocalyptic number.

2123663 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123663 is an equidigital number, since it uses as much as digits as its factorization.

2123663 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 23.

The square root of 2123663 is about 1457.2793143389. The cubic root of 2123663 is about 128.5371107115.

Adding to 2123663 its reverse (3663212), we get a palindrome (5786875).

The spelling of 2123663 in words is "two million, one hundred twenty-three thousand, six hundred sixty-three".