86629 has 2 divisors, whose sum is σ = 86630. Its totient is φ = 86628.

The previous prime is 86627. The next prime is 86677. The reversal of 86629 is 92668.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74529 + 12100 = 273^2 + 110^2 .

It is a cyclic number.

It is not a de Polignac number, because 86629 - 2¹ = 86627 is a prime.

Together with 86627, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 86629.

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 86629.

It is not a weakly prime, because it can be changed into another prime (86627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43314 + 43315.

It is an arithmetic number, because the mean of its divisors is an integer number (43315).

2⁸⁶⁶²⁹ is an apocalyptic number.

It is an amenable number.

86629 is a deficient number, since it is larger than the sum of its proper divisors (1).

86629 is an equidigital number, since it uses as much as digits as its factorization.

86629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5184, while the sum is 31.

The square root of 86629 is about 294.3280482727. The cubic root of 86629 is about 44.2474010837.

The spelling of 86629 in words is "eighty-six thousand, six hundred twenty-nine".