Search a number
-
+
13763381 is a prime number
BaseRepresentation
bin110100100000…
…001100110101
3221220020210212
4310200030311
512010412011
61210555205
7224662322
oct64401465
927806725
1013763381
1178506a5
124738b05
132b0b818
141b83b49
15131d08b
hexd20335

13763381 has 2 divisors, whose sum is σ = 13763382. Its totient is φ = 13763380.

The previous prime is 13763377. The next prime is 13763383. The reversal of 13763381 is 18336731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9205156 + 4558225 = 3034^2 + 2135^2 .

It is a cyclic number.

It is not a de Polignac number, because 13763381 - 22 = 13763377 is a prime.

It is a super-2 number, since 2×137633812 = 378861313102322, which contains 22 as substring.

Together with 13763383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13763383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6881690 + 6881691.

It is an arithmetic number, because the mean of its divisors is an integer number (6881691).

Almost surely, 213763381 is an apocalyptic number.

It is an amenable number.

13763381 is a deficient number, since it is larger than the sum of its proper divisors (1).

13763381 is an equidigital number, since it uses as much as digits as its factorization.

13763381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9072, while the sum is 32.

The square root of 13763381 is about 3709.9030984650. The cubic root of 13763381 is about 239.6486815835.

The spelling of 13763381 in words is "thirteen million, seven hundred sixty-three thousand, three hundred eighty-one".