130689 has 12 divisors (see below), whose sum is σ = 203476. Its totient is φ = 80352.

The previous prime is 130687. The next prime is 130693. The reversal of 130689 is 986031.

130689 = 58² + 59² + ... + 83².

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 119025 = 108^2 + 345^2 .

It is not a de Polignac number, because 130689 - 2¹ = 130687 is a prime.

It is a super-2 number, since 2×130689² = 34159229442, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (130681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442 + ... + 675.

2¹³⁰⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

130689 is a deficient number, since it is larger than the sum of its proper divisors (72787).

130689 is a wasteful number, since it uses less digits than its factorization.

130689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 130689 is about 361.5093359790. The cubic root of 130689 is about 50.7473082931.

The spelling of 130689 in words is "one hundred thirty thousand, six hundred eighty-nine".