86770125 has 96 divisors (see below), whose sum is σ = 178869600. Its totient is φ = 40089600.

The previous prime is 86770081. The next prime is 86770129. The reversal of 86770125 is 52107768.

It can be written as a sum of positive squares in 16 ways, for example, as 55264356 + 31505769 = 7434^2 + 5613^2 .

It is not a de Polignac number, because 86770125 - 2⁷ = 86769997 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86770125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86770129) 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 95 ways as a sum of consecutive naturals, for example, 248451 + ... + 248799.

It is an arithmetic number, because the mean of its divisors is an integer number (1863225).

Almost surely, 2^86770125 is an apocalyptic number.

86770125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86770125 is an abundant number, since it is smaller than the sum of its proper divisors (92099475).

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

86770125 is a wasteful number, since it uses less digits than its factorization.

86770125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 86770125 is about 9315.0483090535. The cubic root of 86770125 is about 442.7141546947.

The spelling of 86770125 in words is "eighty-six million, seven hundred seventy thousand, one hundred twenty-five".