Search a number
-
+
13527037 is a prime number
BaseRepresentation
bin110011100110…
…011111111101
3221110020121101
4303212133331
511430331122
61201533101
7222656266
oct63463775
927406541
1013527037
1176aa077
124644191
132a58084
141b2196d
1512c3027
hexce67fd

13527037 has 2 divisors, whose sum is σ = 13527038. Its totient is φ = 13527036.

The previous prime is 13527029. The next prime is 13527049. The reversal of 13527037 is 73072531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7431076 + 6095961 = 2726^2 + 2469^2 .

It is a cyclic number.

It is not a de Polignac number, because 13527037 - 23 = 13527029 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13526996 and 13527014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13527077) 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, 6763518 + 6763519.

It is an arithmetic number, because the mean of its divisors is an integer number (6763519).

Almost surely, 213527037 is an apocalyptic number.

It is an amenable number.

13527037 is a deficient number, since it is larger than the sum of its proper divisors (1).

13527037 is an equidigital number, since it uses as much as digits as its factorization.

13527037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 13527037 is about 3677.9120435377. The cubic root of 13527037 is about 238.2690094341.

Adding to 13527037 its reverse (73072531), we get a palindrome (86599568).

It can be divided in two parts, 135 and 27037, that added together give a palindrome (27172).

The spelling of 13527037 in words is "thirteen million, five hundred twenty-seven thousand, thirty-seven".