86825752 has 32 divisors (see below), whose sum is σ = 176687280. Its totient is φ = 39761280.

The previous prime is 86825747. The next prime is 86825771. The reversal of 86825752 is 25752868.

It is a super-2 number, since 2×86825752² = 15077422420731008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86825699 and 86825708.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10438 + ... + 16810.

Almost surely, 2^86825752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86825752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88343640).

86825752 is an abundant number, since it is smaller than the sum of its proper divisors (89861528).

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

86825752 is a wasteful number, since it uses less digits than its factorization.

86825752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6519 counting only the distinct ones).

The product of its digits is 268800, while the sum is 43.

The square root of 86825752 is about 9318.0336981576. The cubic root of 86825752 is about 442.8087402429.

The spelling of 86825752 in words is "eighty-six million, eight hundred twenty-five thousand, seven hundred fifty-two".