10204967 has 2 divisors, whose sum is σ = 10204968. Its totient is φ = 10204966.

The previous prime is 10204949. The next prime is 10204973. The reversal of 10204967 is 76940201.

10204967 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10204967 - 2⁶ = 10204903 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10204067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5102483 + 5102484.

It is an arithmetic number, because the mean of its divisors is an integer number (5102484).

Almost surely, 2^10204967 is an apocalyptic number.

10204967 is a deficient number, since it is larger than the sum of its proper divisors (1).

10204967 is an equidigital number, since it uses as much as digits as its factorization.

10204967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 10204967 is about 3194.5214039039. The cubic root of 10204967 is about 216.9054852544.

The spelling of 10204967 in words is "ten million, two hundred four thousand, nine hundred sixty-seven".