13837961 has 2 divisors, whose sum is σ = 13837962. Its totient is φ = 13837960.

The previous prime is 13837939. The next prime is 13837969. The reversal of 13837961 is 16973831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12924025 + 913936 = 3595^2 + 956^2 .

It is a cyclic number.

It is not a de Polignac number, because 13837961 - 2¹⁸ = 13575817 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13837969) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6918980 + 6918981.

It is an arithmetic number, because the mean of its divisors is an integer number (6918981).

Almost surely, 2^13837961 is an apocalyptic number.

It is an amenable number.

13837961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13837961 is an equidigital number, since it uses as much as digits as its factorization.

13837961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 38.

The square root of 13837961 is about 3719.9409941557. The cubic root of 13837961 is about 240.0807656415.

The spelling of 13837961 in words is "thirteen million, eight hundred thirty-seven thousand, nine hundred sixty-one".