130767 has 16 divisors (see below), whose sum is σ = 215040. Its totient is φ = 68832.

The previous prime is 130729. The next prime is 130769. The reversal of 130767 is 767031.

It is not a de Polignac number, because 130767 - 2⁷ = 130639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2¹³⁰⁷⁶⁷ is an apocalyptic number.

130767 is a deficient number, since it is larger than the sum of its proper divisors (84273).

130767 is a wasteful number, since it uses less digits than its factorization.

130767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502.

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 130767 is about 361.6172009183. The cubic root of 130767 is about 50.7574022383.

Adding to 130767 its reverse (767031), we get a palindrome (897798).

The spelling of 130767 in words is "one hundred thirty thousand, seven hundred sixty-seven".