130365 has 12 divisors (see below), whose sum is σ = 226044. Its totient is φ = 69504.

The previous prime is 130363. The next prime is 130367. The reversal of 130365 is 563031.

It is an interprime number because it is at equal distance from previous prime (130363) and next prime (130367).

It can be written as a sum of positive squares in 2 ways, for example, as 29241 + 101124 = 171^2 + 318^2 .

It is not a de Polignac number, because 130365 - 2¹ = 130363 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 130365.

It is not an unprimeable number, because it can be changed into a prime (130363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1404 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (18837).

2¹³⁰³⁶⁵ is an apocalyptic number.

130365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130365 is a deficient number, since it is larger than the sum of its proper divisors (95679).

130365 is a wasteful number, since it uses less digits than its factorization.

130365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 130365 is about 361.0609366852. The cubic root of 130365 is about 50.7053365530.

Adding to 130365 its reverse (563031), we get a palindrome (693396).

It can be divided in two parts, 13036 and 5, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 130365 in words is "one hundred thirty thousand, three hundred sixty-five".