131583 has 8 divisors (see below), whose sum is σ = 183168. Its totient is φ = 83864.

The previous prime is 131581. The next prime is 131591. The reversal of 131583 is 385131.

It is a happy number.

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 131583 - 2¹ = 131581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131581) 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, 885 + ... + 1022.

It is an arithmetic number, because the mean of its divisors is an integer number (22896).

2¹³¹⁵⁸³ is an apocalyptic number.

131583 is a deficient number, since it is larger than the sum of its proper divisors (51585).

131583 is a wasteful number, since it uses less digits than its factorization.

131583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933.

The product of its digits is 360, while the sum is 21.

The square root of 131583 is about 362.7437111791. The cubic root of 131583 is about 50.8627605898.

It can be divided in two parts, 13 and 1583, that added together give a triangular number (1596 = T₅₆).

The spelling of 131583 in words is "one hundred thirty-one thousand, five hundred eighty-three".