1697117961 has 128 divisors (see below), whose sum is σ = 3088834560. Its totient is φ = 803174400.

The previous prime is 1697117941. The next prime is 1697117987.

1697117961 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1697117961 - 2⁷ = 1697117833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1697117961.

It is not an unprimeable number, because it can be changed into a prime (1697117921) 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 in 127 ways as a sum of consecutive naturals, for example, 10162300 + ... + 10162466.

It is an arithmetic number, because the mean of its divisors is an integer number (24131520).

Almost surely, 2^1697117961 is an apocalyptic number.

1697117961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1697117961 is a deficient number, since it is larger than the sum of its proper divisors (1391716599).

1697117961 is a wasteful number, since it uses less digits than its factorization.

1697117961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295.

The product of its digits is 142884, while the sum is 48.

The square root of 1697117961 is about 41196.0915743229. The cubic root of 1697117961 is about 1192.8083662975.

The spelling of 1697117961 in words is "one billion, six hundred ninety-seven million, one hundred seventeen thousand, nine hundred sixty-one".