131971 has 8 divisors (see below), whose sum is σ = 159840. Its totient is φ = 106368.

The previous prime is 131969. The next prime is 132001. The reversal of 131971 is 179131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131971 - 2¹ = 131969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (19980).

2¹³¹⁹⁷¹ is an apocalyptic number.

131971 is a deficient number, since it is larger than the sum of its proper divisors (27869).

131971 is a wasteful number, since it uses less digits than its factorization.

131971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133.

The product of its digits is 189, while the sum is 22.

The square root of 131971 is about 363.2781303629. The cubic root of 131971 is about 50.9127046948.

The spelling of 131971 in words is "one hundred thirty-one thousand, nine hundred seventy-one".