131407 has 4 divisors (see below), whose sum is σ = 132136. Its totient is φ = 130680.

The previous prime is 131381. The next prime is 131413. The reversal of 131407 is 704131.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 131407 - 2¹⁵ = 98639 is a prime.

It is an Ulam number.

It is the 363-rd Hogben number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131407.

It is not an unprimeable number, because it can be changed into a prime (131437) by changing a digit.

It is a nontrivial repunit in base 362.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 133 + ... + 529.

It is an arithmetic number, because the mean of its divisors is an integer number (33034).

2¹³¹⁴⁰⁷ is an apocalyptic number.

131407 is a deficient number, since it is larger than the sum of its proper divisors (729).

131407 is an equidigital number, since it uses as much as digits as its factorization.

131407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 131407 is about 362.5010344813. The cubic root of 131407 is about 50.8400731605.

Adding to 131407 its reverse (704131), we get a palindrome (835538).

The spelling of 131407 in words is "one hundred thirty-one thousand, four hundred seven".