85604129 has 16 divisors (see below), whose sum is σ = 97932240. Its totient is φ = 74127360.

The previous prime is 85604089. The next prime is 85604147. The reversal of 85604129 is 92140658.

85604129 = 1802² + 1803² + ... + 1827².

It can be written as a sum of positive squares in 8 ways, for example, as 5053504 + 80550625 = 2248^2 + 8975^2 .

It is a cyclic number.

It is not a de Polignac number, because 85604129 - 2²⁰ = 84555553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85604179) 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, 112109 + ... + 112869.

It is an arithmetic number, because the mean of its divisors is an integer number (6120765).

Almost surely, 2^85604129 is an apocalyptic number.

It is an amenable number.

85604129 is a deficient number, since it is larger than the sum of its proper divisors (12328111).

85604129 is a wasteful number, since it uses less digits than its factorization.

85604129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 85604129 is about 9252.2499425815. The cubic root of 85604129 is about 440.7221766387.

The spelling of 85604129 in words is "eighty-five million, six hundred four thousand, one hundred twenty-nine".