131985 has 24 divisors (see below), whose sum is σ = 262080. Its totient is φ = 60192.

The previous prime is 131969. The next prime is 132001. The reversal of 131985 is 589131.

It is an interprime number because it is at equal distance from previous prime (131969) and next prime (132001).

It is not a de Polignac number, because 131985 - 2⁴ = 131969 is a prime.

131985 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131985.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2¹³¹⁹⁸⁵ is an apocalyptic number.

131985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131985 is a deficient number, since it is larger than the sum of its proper divisors (130095).

131985 is a wasteful number, since it uses less digits than its factorization.

131985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 434 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 131985 is about 363.2973988346. The cubic root of 131985 is about 50.9145049707.

It can be divided in two parts, 13198 and 5, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 131985 in words is "one hundred thirty-one thousand, nine hundred eighty-five".