131205767 has 16 divisors (see below), whose sum is σ = 165210624. Its totient is φ = 101220000.

The previous prime is 131205751. The next prime is 131205787. The reversal of 131205767 is 767502131.

It is not a de Polignac number, because 131205767 - 2⁴ = 131205751 is a prime.

It is a super-4 number, since 4×131205767⁴ (a number of 34 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131205727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659 + ... + 16212.

It is an arithmetic number, because the mean of its divisors is an integer number (10325664).

Almost surely, 2^131205767 is an apocalyptic number.

131205767 is a deficient number, since it is larger than the sum of its proper divisors (34004857).

131205767 is a wasteful number, since it uses less digits than its factorization.

131205767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16990.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 131205767 is about 11454.5085883245. The cubic root of 131205767 is about 508.1410821388.

Adding to 131205767 its reverse (767502131), we get a palindrome (898707898).

The spelling of 131205767 in words is "one hundred thirty-one million, two hundred five thousand, seven hundred sixty-seven".