131527 has 6 divisors (see below), whose sum is σ = 144704. Its totient is φ = 119460.

The previous prime is 131519. The next prime is 131543. The reversal of 131527 is 725131.

It is not a de Polignac number, because 131527 - 2³ = 131519 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131507) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 423 + ... + 664.

2¹³¹⁵²⁷ is an apocalyptic number.

131527 is a deficient number, since it is larger than the sum of its proper divisors (13177).

131527 is a wasteful number, since it uses less digits than its factorization.

131527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1098 counting only the distinct ones).

The product of its digits is 210, while the sum is 19.

The square root of 131527 is about 362.6665134804. Note that the first 3 decimals coincide. The cubic root of 131527 is about 50.8555440579.

Adding to 131527 its reverse (725131), we get a palindrome (856658).

It can be divided in two parts, 13 and 1527, that added together give a triangular number (1540 = T₅₅).

The spelling of 131527 in words is "one hundred thirty-one thousand, five hundred twenty-seven".