131629729 has 27 divisors (see below), whose sum is σ = 169442931. Its totient is φ = 101880240.

The previous prime is 131629727. The next prime is 131629733. The reversal of 131629729 is 927926131.

The square root of 131629729 is 11473.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15421329 + 116208400 = 3927^2 + 10780^2 .

It is not a de Polignac number, because 131629729 - 2¹ = 131629727 is a prime.

It is a super-2 number, since 2×131629729² = 34652771113226882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131629691 and 131629700.

It is not an unprimeable number, because it can be changed into a prime (131629727) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 883347 + ... + 883495.

Almost surely, 2^131629729 is an apocalyptic number.

131629729 is the 11473-rd square number.

131629729 is the 5737-th centered octagonal number.

It is an amenable number.

131629729 is a deficient number, since it is larger than the sum of its proper divisors (37813202).

131629729 is an equidigital number, since it uses as much as digits as its factorization.

131629729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its digits is 40824, while the sum is 40.

The cubic root of 131629729 is about 508.6878083218.

The spelling of 131629729 in words is "one hundred thirty-one million, six hundred twenty-nine thousand, seven hundred twenty-nine".