34165209097 has 8 divisors (see below), whose sum is σ = 34509486600. Its totient is φ = 33821049600.

The previous prime is 34165209059. The next prime is 34165209101. The reversal of 34165209097 is 79090256143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22335601401 + 11829607696 = 149451^2 + 108764^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 34165209097 - 2⁷ = 34165208969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34165209997) 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, 625123 + ... + 677575.

It is an arithmetic number, because the mean of its divisors is an integer number (4313685825).

Almost surely, 2^34165209097 is an apocalyptic number.

It is an amenable number.

34165209097 is a deficient number, since it is larger than the sum of its proper divisors (344277503).

34165209097 is a wasteful number, since it uses less digits than its factorization.

34165209097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59003.

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 34165209097 in words is "thirty-four billion, one hundred sixty-five million, two hundred nine thousand, ninety-seven".