131730 has 16 divisors (see below), whose sum is σ = 316224. Its totient is φ = 35120.

The previous prime is 131713. The next prime is 131731. The reversal of 131730 is 37131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (131731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2166 + ... + 2225.

It is an arithmetic number, because the mean of its divisors is an integer number (19764).

2¹³¹⁷³⁰ is an apocalyptic number.

131730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131730 is an abundant number, since it is smaller than the sum of its proper divisors (184494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131730 is a wasteful number, since it uses less digits than its factorization.

131730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 131730 is about 362.9462770163. The cubic root of 131730 is about 50.8816942496.

Adding to 131730 its reverse (37131), we get a palindrome (168861).

It can be divided in two parts, 131 and 730, that added together give a triangular number (861 = T₄₁).

The spelling of 131730 in words is "one hundred thirty-one thousand, seven hundred thirty".