117980161 has 16 divisors (see below), whose sum is σ = 132661648. Its totient is φ = 104198400.

The previous prime is 117980147. The next prime is 117980167. The reversal of 117980161 is 161089711.

117980161 = T₄₄₆ + T₄₄₇ + ... + T₉₂₆.

117980161 = 7680² + 7681².

It can be written as a sum of positive squares in 8 ways, for example, as 31136400 + 86843761 = 5580^2 + 9319^2 .

It is a cyclic number.

It is not a de Polignac number, because 117980161 - 2¹⁷ = 117849089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117980167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27331 + ... + 31351.

It is an arithmetic number, because the mean of its divisors is an integer number (8291353).

Almost surely, 2^117980161 is an apocalyptic number.

117980161 is the 7681-st centered square number.

It is an amenable number.

117980161 is a deficient number, since it is larger than the sum of its proper divisors (14681487).

117980161 is a wasteful number, since it uses less digits than its factorization.

117980161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132.

The product of its (nonzero) digits is 3024, while the sum is 34.

The square root of 117980161 is about 10861.8672888229. The cubic root of 117980161 is about 490.4593235669.

The spelling of 117980161 in words is "one hundred seventeen million, nine hundred eighty thousand, one hundred sixty-one".