85257129 has 16 divisors (see below), whose sum is σ = 118065600. Its totient is φ = 54659136.

The previous prime is 85257121. The next prime is 85257143. The reversal of 85257129 is 92175258.

It is not a de Polignac number, because 85257129 - 2³ = 85257121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85257121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21582 + ... + 25224.

It is an arithmetic number, because the mean of its divisors is an integer number (7379100).

Almost surely, 2^85257129 is an apocalyptic number.

It is an amenable number.

85257129 is a deficient number, since it is larger than the sum of its proper divisors (32808471).

85257129 is a wasteful number, since it uses less digits than its factorization.

85257129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944.

The product of its digits is 50400, while the sum is 39.

The square root of 85257129 is about 9233.4787052335. The cubic root of 85257129 is about 440.1258747991.

The spelling of 85257129 in words is "eighty-five million, two hundred fifty-seven thousand, one hundred twenty-nine".