85736129 has 2 divisors, whose sum is σ = 85736130. Its totient is φ = 85736128.

The previous prime is 85736099. The next prime is 85736149. The reversal of 85736129 is 92163758.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85063729 + 672400 = 9223^2 + 820^2 .

It is a cyclic number.

It is not a de Polignac number, because 85736129 - 2⁸ = 85735873 is a prime.

It is not a weakly prime, because it can be changed into another prime (85736149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42868064 + 42868065.

It is an arithmetic number, because the mean of its divisors is an integer number (42868065).

Almost surely, 2^85736129 is an apocalyptic number.

It is an amenable number.

85736129 is a deficient number, since it is larger than the sum of its proper divisors (1).

85736129 is an equidigital number, since it uses as much as digits as its factorization.

85736129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90720, while the sum is 41.

The square root of 85736129 is about 9259.3805948346. The cubic root of 85736129 is about 440.9485888138.

The spelling of 85736129 in words is "eighty-five million, seven hundred thirty-six thousand, one hundred twenty-nine".