83688629 has 2 divisors, whose sum is σ = 83688630. Its totient is φ = 83688628.

The previous prime is 83688617. The next prime is 83688641. The reversal of 83688629 is 92688638.

It is a balanced prime because it is at equal distance from previous prime (83688617) and next prime (83688641).

It can be written as a sum of positive squares in only one way, i.e., 57729604 + 25959025 = 7598^2 + 5095^2 .

It is a cyclic number.

It is not a de Polignac number, because 83688629 - 2⁴ = 83688613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83685629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41844314 + 41844315.

It is an arithmetic number, because the mean of its divisors is an integer number (41844315).

Almost surely, 2^83688629 is an apocalyptic number.

It is an amenable number.

83688629 is a deficient number, since it is larger than the sum of its proper divisors (1).

83688629 is an equidigital number, since it uses as much as digits as its factorization.

83688629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 995328, while the sum is 50.

The square root of 83688629 is about 9148.1489384465. The cubic root of 83688629 is about 437.4101109476.

Subtracting 83688629 from its reverse (92688638), we obtain a palindrome (9000009).

The spelling of 83688629 in words is "eighty-three million, six hundred eighty-eight thousand, six hundred twenty-nine".