131997 has 8 divisors (see below), whose sum is σ = 183744. Its totient is φ = 84128.

The previous prime is 131969. The next prime is 132001. The reversal of 131997 is 799131.

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 131997 - 2⁶ = 131933 is a prime.

131997 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131927) 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, 888 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (22968).

2¹³¹⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

131997 is a deficient number, since it is larger than the sum of its proper divisors (51747).

131997 is a wasteful number, since it uses less digits than its factorization.

131997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939.

The product of its digits is 1701, while the sum is 30.

The square root of 131997 is about 363.3139138541. The cubic root of 131997 is about 50.9160479631.

It can be divided in two parts, 131 and 997, that added together give a triangular number (1128 = T₄₇).

The spelling of 131997 in words is "one hundred thirty-one thousand, nine hundred ninety-seven".