131829 has 4 divisors (see below), whose sum is σ = 175776. Its totient is φ = 87884.

The previous prime is 131797. The next prime is 131837. The reversal of 131829 is 928131.

131829 = 117² + 118² + ... + 125².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 131829 - 2⁵ = 131797 is a prime.

It is a D-number.

It is a junction number, because it is equal to n+sod(n) for n = 131799 and 131808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131839) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21969 + ... + 21974.

It is an arithmetic number, because the mean of its divisors is an integer number (43944).

2¹³¹⁸²⁹ is an apocalyptic number.

It is an amenable number.

131829 is a deficient number, since it is larger than the sum of its proper divisors (43947).

131829 is an equidigital number, since it uses as much as digits as its factorization.

131829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43946.

The product of its digits is 432, while the sum is 24.

The square root of 131829 is about 363.0826352223. The cubic root of 131829 is about 50.8944375537.

The spelling of 131829 in words is "one hundred thirty-one thousand, eight hundred twenty-nine".