131667829 has 8 divisors (see below), whose sum is σ = 134188088. Its totient is φ = 129159360.

The previous prime is 131667827. The next prime is 131667857. The reversal of 131667829 is 928766131.

It can be written as a sum of positive squares in 4 ways, for example, as 5712100 + 125955729 = 2390^2 + 11223^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131667829 - 2¹ = 131667827 is a prime.

It is a super-4 number, since 4×131667829⁴ (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 (131667827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21499 + ... + 26935.

It is an arithmetic number, because the mean of its divisors is an integer number (16773511).

Almost surely, 2^131667829 is an apocalyptic number.

It is an amenable number.

131667829 is a deficient number, since it is larger than the sum of its proper divisors (2520259).

131667829 is an equidigital number, since it uses as much as digits as its factorization.

131667829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895.

The product of its digits is 108864, while the sum is 43.

The square root of 131667829 is about 11474.6602999827. The cubic root of 131667829 is about 508.7368831927.

It can be divided in two parts, 131667 and 829, that added together give a square (132496 = 364²).

The spelling of 131667829 in words is "one hundred thirty-one million, six hundred sixty-seven thousand, eight hundred twenty-nine".