Search a number
-
+
13765957 is a prime number
BaseRepresentation
bin110100100000…
…110101000101
3221220101100021
4310200311011
512011002312
61211015141
7225002662
oct64406505
927811307
1013765957
117852627
12473a4b1
132b0ca4a
141b84a69
15131dc07
hexd20d45

13765957 has 2 divisors, whose sum is σ = 13765958. Its totient is φ = 13765956.

The previous prime is 13765951. The next prime is 13765967. The reversal of 13765957 is 75956731.

13765957 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12737761 + 1028196 = 3569^2 + 1014^2 .

It is a cyclic number.

It is not a de Polignac number, because 13765957 - 211 = 13763909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13765951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6882978 + 6882979.

It is an arithmetic number, because the mean of its divisors is an integer number (6882979).

Almost surely, 213765957 is an apocalyptic number.

It is an amenable number.

13765957 is a deficient number, since it is larger than the sum of its proper divisors (1).

13765957 is an equidigital number, since it uses as much as digits as its factorization.

13765957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 198450, while the sum is 43.

The square root of 13765957 is about 3710.2502611010. The cubic root of 13765957 is about 239.6636317980.

The spelling of 13765957 in words is "thirteen million, seven hundred sixty-five thousand, nine hundred fifty-seven".