131835 has 32 divisors (see below), whose sum is σ = 248832. Its totient is φ = 58880.

The previous prime is 131797. The next prime is 131837. The reversal of 131835 is 538131.

It is a happy number.

131835 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 131835 - 2⁶ = 131771 is a prime.

131835 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2782 + ... + 2828.

It is an arithmetic number, because the mean of its divisors is an integer number (7776).

2¹³¹⁸³⁵ is an apocalyptic number.

131835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131835 is a deficient number, since it is larger than the sum of its proper divisors (116997).

131835 is a wasteful number, since it uses less digits than its factorization.

131835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83.

The product of its digits is 360, while the sum is 21.

The square root of 131835 is about 363.0908977102. The cubic root of 131835 is about 50.8952096701.

Adding to 131835 its reverse (538131), we get a palindrome (669966).

The spelling of 131835 in words is "one hundred thirty-one thousand, eight hundred thirty-five".