84629 has 2 divisors, whose sum is σ = 84630. Its totient is φ = 84628.

The previous prime is 84589. The next prime is 84631. The reversal of 84629 is 92648.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84100 + 529 = 290^2 + 23^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-84629 is a prime.

It is a Sophie Germain prime.

Together with 84631, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42314 + 42315.

It is an arithmetic number, because the mean of its divisors is an integer number (42315).

2⁸⁴⁶²⁹ is an apocalyptic number.

It is an amenable number.

84629 is a deficient number, since it is larger than the sum of its proper divisors (1).

84629 is an equidigital number, since it uses as much as digits as its factorization.

84629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3456, while the sum is 29.

The square root of 84629 is about 290.9106392004. The cubic root of 84629 is about 43.9042338647.

The spelling of 84629 in words is "eighty-four thousand, six hundred twenty-nine".