131684 has 12 divisors (see below), whose sum is σ = 263424. Its totient is φ = 56424.

The previous prime is 131671. The next prime is 131687. The reversal of 131684 is 486131.

131684 is an admirable number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (131687) by changing a digit.

131684 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 2324 + ... + 2379.

It is an arithmetic number, because the mean of its divisors is an integer number (21952).

2¹³¹⁶⁸⁴ is an apocalyptic number.

131684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131684 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

131684 is a wasteful number, since it uses less digits than its factorization.

131684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714 (or 4712 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 131684 is about 362.8829012230. The cubic root of 131684 is about 50.8757709458.

The spelling of 131684 in words is "one hundred thirty-one thousand, six hundred eighty-four".