130833 has 6 divisors (see below), whose sum is σ = 188994. Its totient is φ = 87216.

The previous prime is 130829. The next prime is 130841. The reversal of 130833 is 338031.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 33489 = 312^2 + 183^2 .

It is not a de Polignac number, because 130833 - 2² = 130829 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7260 + ... + 7277.

It is an arithmetic number, because the mean of its divisors is an integer number (31499).

2¹³⁰⁸³³ is an apocalyptic number.

It is an amenable number.

130833 is a deficient number, since it is larger than the sum of its proper divisors (58161).

130833 is a wasteful number, since it uses less digits than its factorization.

130833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14543 (or 14540 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130833 is about 361.7084461275. The cubic root of 130833 is about 50.7659401343.

Adding to 130833 its reverse (338031), we get a palindrome (468864).

The spelling of 130833 in words is "one hundred thirty thousand, eight hundred thirty-three".