85205124 has 18 divisors (see below), whose sum is σ = 215379710. Its totient is φ = 28401696.

The previous prime is 85205123. The next prime is 85205171. The reversal of 85205124 is 42150258.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 75168900 + 10036224 = 8670^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (85205123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1183369 + ... + 1183440.

Almost surely, 2^85205124 is an apocalyptic number.

It is an amenable number.

85205124 is an abundant number, since it is smaller than the sum of its proper divisors (130174586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85205124 is a wasteful number, since it uses less digits than its factorization.

85205124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366819 (or 2366814 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 85205124 is about 9230.6621647637. The cubic root of 85205124 is about 440.0363675174.

It can be divided in two parts, 85 and 205124, that added together give a square (205209 = 453²).

The spelling of 85205124 in words is "eighty-five million, two hundred five thousand, one hundred twenty-four".