131905 has 16 divisors (see below), whose sum is σ = 175104. Its totient is φ = 95040.

The previous prime is 131899. The next prime is 131909. The reversal of 131905 is 509131.

It is not a de Polignac number, because 131905 - 2⁷ = 131777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3547 + ... + 3583.

It is an arithmetic number, because the mean of its divisors is an integer number (10944).

2¹³¹⁹⁰⁵ is an apocalyptic number.

131905 is the 230-th heptagonal number.

It is an amenable number.

131905 is a deficient number, since it is larger than the sum of its proper divisors (43199).

131905 is a wasteful number, since it uses less digits than its factorization.

131905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 135, while the sum is 19.

The square root of 131905 is about 363.1872795129. The cubic root of 131905 is about 50.9042159641.

The spelling of 131905 in words is "one hundred thirty-one thousand, nine hundred five".