1097166961 has 16 divisors (see below), whose sum is σ = 1270349568. Its totient is φ = 936505600.

The previous prime is 1097166899. The next prime is 1097167037. The reversal of 1097166961 is 1696617901.

It is a cyclic number.

It is not a de Polignac number, because 1097166961 - 2¹⁵ = 1097134193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1097166061) 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 in 15 ways as a sum of consecutive naturals, for example, 73791 + ... + 87403.

It is an arithmetic number, because the mean of its divisors is an integer number (79396848).

Almost surely, 2^1097166961 is an apocalyptic number.

1097166961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1097166961 is a deficient number, since it is larger than the sum of its proper divisors (173182607).

1097166961 is a wasteful number, since it uses less digits than its factorization.

1097166961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14072.

The product of its (nonzero) digits is 122472, while the sum is 46.

The square root of 1097166961 is about 33123.5106985959. The cubic root of 1097166961 is about 1031.3931445202.

The spelling of 1097166961 in words is "one billion, ninety-seven million, one hundred sixty-six thousand, nine hundred sixty-one".