10638961 has 2 divisors, whose sum is σ = 10638962. Its totient is φ = 10638960.

The previous prime is 10638959. The next prime is 10638977. The reversal of 10638961 is 16983601.

10638961 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., 8014561 + 2624400 = 2831^2 + 1620^2 .

It is a cyclic number.

It is not a de Polignac number, because 10638961 - 2¹ = 10638959 is a prime.

It is a super-2 number, since 2×10638961² = 226374982319042, which contains 22 as substring.

Together with 10638959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10638161) 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, 5319480 + 5319481.

It is an arithmetic number, because the mean of its divisors is an integer number (5319481).

Almost surely, 2^10638961 is an apocalyptic number.

It is an amenable number.

10638961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10638961 is an equidigital number, since it uses as much as digits as its factorization.

10638961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 10638961 is about 3261.7420192284. The cubic root of 10638961 is about 219.9377303105.

The spelling of 10638961 in words is "ten million, six hundred thirty-eight thousand, nine hundred sixty-one".