10368961 has 2 divisors, whose sum is σ = 10368962. Its totient is φ = 10368960.

The previous prime is 10368949. The next prime is 10368971. The reversal of 10368961 is 16986301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5664400 + 4704561 = 2380^2 + 2169^2 .

It is a cyclic number.

It is not a de Polignac number, because 10368961 - 2²³ = 1980353 is a prime.

It is equal to p₆₈₇₄₄₅ and since 10368961 and 687445 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (10368931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5184480 + 5184481.

It is an arithmetic number, because the mean of its divisors is an integer number (5184481).

Almost surely, 2^10368961 is an apocalyptic number.

It is an amenable number.

10368961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10368961 is an equidigital number, since it uses as much as digits as its factorization.

10368961 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 10368961 is about 3220.0871106229. The cubic root of 10368961 is about 218.0612080185.

The spelling of 10368961 in words is "ten million, three hundred sixty-eight thousand, nine hundred sixty-one".