131565 has 24 divisors (see below), whose sum is σ = 246240. Its totient is φ = 59808.

The previous prime is 131561. The next prime is 131581. The reversal of 131565 is 565131.

It is a happy number.

It is not a de Polignac number, because 131565 - 2² = 131561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2¹³¹⁵⁶⁵ is an apocalyptic number.

131565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131565 is a deficient number, since it is larger than the sum of its proper divisors (114675).

131565 is a wasteful number, since it uses less digits than its factorization.

131565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 194 counting only the distinct ones).

The product of its digits is 450, while the sum is 21.

The square root of 131565 is about 362.7188994249. The cubic root of 131565 is about 50.8604412136.

Adding to 131565 its reverse (565131), we get a palindrome (696696).

It can be divided in two parts, 131 and 565, that added together give a palindrome (696).

The spelling of 131565 in words is "one hundred thirty-one thousand, five hundred sixty-five".