131605461 has 12 divisors (see below), whose sum is σ = 204719788. Its totient is φ = 80987904.

The previous prime is 131605433. The next prime is 131605477. The reversal of 131605461 is 164506131.

131605461 is a `hidden beast` number, since 13 + 1 + 605 + 46 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9922500 + 121682961 = 3150^2 + 11031^2 .

It is not a de Polignac number, because 131605461 - 2¹⁰ = 131604437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131605421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562300 + ... + 562533.

Almost surely, 2^131605461 is an apocalyptic number.

It is an amenable number.

131605461 is a deficient number, since it is larger than the sum of its proper divisors (73114327).

131605461 is a wasteful number, since it uses less digits than its factorization.

131605461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124852 (or 1124849 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 131605461 is about 11471.9423377212. The cubic root of 131605461 is about 508.6565448816.

The spelling of 131605461 in words is "one hundred thirty-one million, six hundred five thousand, four hundred sixty-one".