83623129 has 2 divisors, whose sum is σ = 83623130. Its totient is φ = 83623128.

The previous prime is 83623109. The next prime is 83623139. The reversal of 83623129 is 92132638.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65983129 + 17640000 = 8123^2 + 4200^2 .

It is a cyclic number.

It is not a de Polignac number, because 83623129 - 2⁵ = 83623097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83623094 and 83623103.

It is not a weakly prime, because it can be changed into another prime (83623109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41811564 + 41811565.

It is an arithmetic number, because the mean of its divisors is an integer number (41811565).

Almost surely, 2^83623129 is an apocalyptic number.

It is an amenable number.

83623129 is a deficient number, since it is larger than the sum of its proper divisors (1).

83623129 is an equidigital number, since it uses as much as digits as its factorization.

83623129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 34.

The square root of 83623129 is about 9144.5682784919. The cubic root of 83623129 is about 437.2959662488.

The spelling of 83623129 in words is "eighty-three million, six hundred twenty-three thousand, one hundred twenty-nine".