967406009 has 2 divisors, whose sum is σ = 967406010. Its totient is φ = 967406008.

The previous prime is 967405991. The next prime is 967406021. The reversal of 967406009 is 900604769.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 839376784 + 128029225 = 28972^2 + 11315^2 .

It is a cyclic number.

It is not a de Polignac number, because 967406009 - 2²⁸ = 698970553 is a prime.

It is not a weakly prime, because it can be changed into another prime (967406039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483703004 + 483703005.

It is an arithmetic number, because the mean of its divisors is an integer number (483703005).

Almost surely, 2^967406009 is an apocalyptic number.

It is an amenable number.

967406009 is a deficient number, since it is larger than the sum of its proper divisors (1).

967406009 is an equidigital number, since it uses as much as digits as its factorization.

967406009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 41.

The square root of 967406009 is about 31103.1511104582. The cubic root of 967406009 is about 989.0151103741.

The spelling of 967406009 in words is "nine hundred sixty-seven million, four hundred six thousand, nine".