86129 has 4 divisors (see below), whose sum is σ = 88176. Its totient is φ = 84084.

The previous prime is 86117. The next prime is 86131. The reversal of 86129 is 92168.

86129 = 22² + 23² + ... + 64².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 86129 - 2⁴ = 86113 is a prime.

It is a Duffinian number.

86129 is a modest number, since divided by 129 gives 86 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86098 and 86107.

It is not an unprimeable number, because it can be changed into a prime (86179) 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 3 ways as a sum of consecutive naturals, for example, 959 + ... + 1044.

It is an arithmetic number, because the mean of its divisors is an integer number (22044).

2⁸⁶¹²⁹ is an apocalyptic number.

It is an amenable number.

86129 is a deficient number, since it is larger than the sum of its proper divisors (2047).

86129 is a wasteful number, since it uses less digits than its factorization.

86129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046.

The product of its digits is 864, while the sum is 26.

The square root of 86129 is about 293.4774267299. The cubic root of 86129 is about 44.1621086234.

The spelling of 86129 in words is "eighty-six thousand, one hundred twenty-nine".