83876129 has 2 divisors, whose sum is σ = 83876130. Its totient is φ = 83876128.

The previous prime is 83876081. The next prime is 83876131. The reversal of 83876129 is 92167838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44249104 + 39627025 = 6652^2 + 6295^2 .

It is a cyclic number.

It is not a de Polignac number, because 83876129 - 2¹⁶ = 83810593 is a prime.

Together with 83876131, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 83876129.

It is not a weakly prime, because it can be changed into another prime (83876189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41938064 + 41938065.

It is an arithmetic number, because the mean of its divisors is an integer number (41938065).

Almost surely, 2^83876129 is an apocalyptic number.

It is an amenable number.

83876129 is a deficient number, since it is larger than the sum of its proper divisors (1).

83876129 is an equidigital number, since it uses as much as digits as its factorization.

83876129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 145152, while the sum is 44.

The square root of 83876129 is about 9158.3911796778. The cubic root of 83876129 is about 437.7365321243.

It can be divided in two parts, 838 and 76129, that added together give a palindrome (76967).

The spelling of 83876129 in words is "eighty-three million, eight hundred seventy-six thousand, one hundred twenty-nine".