85078125 has 72 divisors (see below), whose sum is σ = 168847224. Its totient is φ = 41250000.

The previous prime is 85078121. The next prime is 85078129. The reversal of 85078125 is 52187058.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (85078121) and next prime (85078129).

It can be written as a sum of positive squares in 4 ways, for example, as 84162276 + 915849 = 9174^2 + 957^2 .

It is not a de Polignac number, because 85078125 - 2² = 85078121 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 85078125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85078121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7734370 + ... + 7734380.

Almost surely, 2^85078125 is an apocalyptic number.

It is an amenable number.

85078125 is a deficient number, since it is larger than the sum of its proper divisors (83769099).

85078125 is an frugal number, since it uses more digits than its factorization.

85078125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 85078125 is about 9223.7804071866. The cubic root of 85078125 is about 439.8176327578.

The spelling of 85078125 in words is "eighty-five million, seventy-eight thousand, one hundred twenty-five".