131607829 has 8 divisors (see below), whose sum is σ = 144155160. Its totient is φ = 119594496.

The previous prime is 131607811. The next prime is 131607869. The reversal of 131607829 is 928706131.

It can be written as a sum of positive squares in 4 ways, for example, as 10387729 + 121220100 = 3223^2 + 11010^2 .

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 131607829 - 2¹⁹ = 131083541 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131607869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132984 + ... + 133969.

It is an arithmetic number, because the mean of its divisors is an integer number (18019395).

Almost surely, 2^131607829 is an apocalyptic number.

It is an amenable number.

131607829 is a deficient number, since it is larger than the sum of its proper divisors (12547331).

131607829 is a wasteful number, since it uses less digits than its factorization.

131607829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266999.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 131607829 is about 11472.0455455860. The cubic root of 131607829 is about 508.6595956453.

The spelling of 131607829 in words is "one hundred thirty-one million, six hundred seven thousand, eight hundred twenty-nine".