9205397967 has 8 divisors (see below), whose sum is σ = 12274331440. Its totient is φ = 6136698240.

The previous prime is 9205397953. The next prime is 9205397969. The reversal of 9205397967 is 7697935029.

9205397967 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9205397967 - 2¹² = 9205393871 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9205397969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80967 + ... + 158007.

It is an arithmetic number, because the mean of its divisors is an integer number (1534291430).

Almost surely, 2^9205397967 is an apocalyptic number.

9205397967 is a deficient number, since it is larger than the sum of its proper divisors (3068933473).

9205397967 is a wasteful number, since it uses less digits than its factorization.

9205397967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116873.

The product of its (nonzero) digits is 6429780, while the sum is 57.

The square root of 9205397967 is about 95944.7651881018. The cubic root of 9205397967 is about 2095.7888373521.

The spelling of 9205397967 in words is "nine billion, two hundred five million, three hundred ninety-seven thousand, nine hundred sixty-seven".