86529753 has 12 divisors (see below), whose sum is σ = 125076900. Its totient is φ = 57645216.

The previous prime is 86529739. The next prime is 86529757. The reversal of 86529753 is 35792568.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49112064 + 37417689 = 7008^2 + 6117^2 .

It is not a de Polignac number, because 86529753 - 2⁸ = 86529497 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 86529699 and 86529708.

It is not an unprimeable number, because it can be changed into a prime (86529757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15075 + ... + 20007.

It is an arithmetic number, because the mean of its divisors is an integer number (10423075).

Almost surely, 2^86529753 is an apocalyptic number.

It is an amenable number.

86529753 is a deficient number, since it is larger than the sum of its proper divisors (38547147).

86529753 is a wasteful number, since it uses less digits than its factorization.

86529753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888 (or 6885 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 86529753 is about 9302.1370125364. The cubic root of 86529753 is about 442.3049719893.

The spelling of 86529753 in words is "eighty-six million, five hundred twenty-nine thousand, seven hundred fifty-three".