85297129 has 2 divisors, whose sum is σ = 85297130. Its totient is φ = 85297128.

The previous prime is 85297117. The next prime is 85297139. The reversal of 85297129 is 92179258.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53993104 + 31304025 = 7348^2 + 5595^2 .

It is a cyclic number.

It is not a de Polignac number, because 85297129 - 2¹³ = 85288937 is a prime.

It is equal to p_4959916 and since 85297129 and 4959916 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (85297139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42648564 + 42648565.

It is an arithmetic number, because the mean of its divisors is an integer number (42648565).

Almost surely, 2^85297129 is an apocalyptic number.

It is an amenable number.

85297129 is a deficient number, since it is larger than the sum of its proper divisors (1).

85297129 is an equidigital number, since it uses as much as digits as its factorization.

85297129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90720, while the sum is 43.

The square root of 85297129 is about 9235.6444821138. The cubic root of 85297129 is about 440.1946951729.

The spelling of 85297129 in words is "eighty-five million, two hundred ninety-seven thousand, one hundred twenty-nine".