Search a number
-
+
13983733 is a prime number
BaseRepresentation
bin110101010101…
…111111110101
3222022110002001
4311111333311
512034434413
61215415301
7226600621
oct65257765
928273061
1013983733
117991205
124824531
132b87bca
141c00181
1513634dd
hexd55ff5

13983733 has 2 divisors, whose sum is σ = 13983734. Its totient is φ = 13983732.

The previous prime is 13983709. The next prime is 13983773. The reversal of 13983733 is 33738931.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13490929 + 492804 = 3673^2 + 702^2 .

It is a cyclic number.

It is not a de Polignac number, because 13983733 - 213 = 13975541 is a prime.

It is a super-3 number, since 3×139837333 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13983692 and 13983701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13983703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6991866 + 6991867.

It is an arithmetic number, because the mean of its divisors is an integer number (6991867).

Almost surely, 213983733 is an apocalyptic number.

It is an amenable number.

13983733 is a deficient number, since it is larger than the sum of its proper divisors (1).

13983733 is an equidigital number, since it uses as much as digits as its factorization.

13983733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40824, while the sum is 37.

The square root of 13983733 is about 3739.4829856546. The cubic root of 13983733 is about 240.9208431347.

The spelling of 13983733 in words is "thirteen million, nine hundred eighty-three thousand, seven hundred thirty-three".