161161 has 24 divisors (see below), whose sum is σ = 229824. Its totient is φ = 110880.

The previous prime is 161159. The next prime is 161167.

161161 = 116² + 117² + ... + 126².

161161 is nontrivially palindromic in base 10.

161161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 161161 - 2¹ = 161159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6996 + ... + 7018.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2¹⁶¹¹⁶¹ is an apocalyptic number.

161161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

161161 is a deficient number, since it is larger than the sum of its proper divisors (68663).

161161 is a wasteful number, since it uses less digits than its factorization.

161161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 54 counting only the distinct ones).

The product of its digits is 36, while the sum is 16.

The square root of 161161 is about 401.4486268503. The cubic root of 161161 is about 54.4193459523.

The spelling of 161161 in words is "one hundred sixty-one thousand, one hundred sixty-one".