131833 has 4 divisors (see below), whose sum is σ = 141988. Its totient is φ = 121680.

The previous prime is 131797. The next prime is 131837. The reversal of 131833 is 338131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 338131 = 179 ⋅1889.

It can be written as a sum of positive squares in 2 ways, for example, as 21609 + 110224 = 147^2 + 332^2 .

It is not a de Polignac number, because 131833 - 2⁹ = 131321 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131833.

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 3 ways as a sum of consecutive naturals, for example, 5058 + ... + 5083.

It is an arithmetic number, because the mean of its divisors is an integer number (35497).

2¹³¹⁸³³ is an apocalyptic number.

131833 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131833 is a deficient number, since it is larger than the sum of its proper divisors (10155).

131833 is a wasteful number, since it uses less digits than its factorization.

131833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10154.

The product of its digits is 216, while the sum is 19.

The square root of 131833 is about 363.0881435685. The cubic root of 131833 is about 50.8949523006.

Adding to 131833 its reverse (338131), we get a palindrome (469964).

The spelling of 131833 in words is "one hundred thirty-one thousand, eight hundred thirty-three".