8132892 has 48 divisors (see below), whose sum is σ = 20106240. Its totient is φ = 2553408.

The previous prime is 8132879. The next prime is 8132899. The reversal of 8132892 is 2982318.

It is a super-2 number, since 2×8132892² = 132287864567328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132899) 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 15 ways as a sum of consecutive naturals, for example, 21618 + ... + 21990.

It is an arithmetic number, because the mean of its divisors is an integer number (418880).

Almost surely, 2^8132892 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 8132892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10053120).

8132892 is an abundant number, since it is smaller than the sum of its proper divisors (11973348).

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

8132892 is a wasteful number, since it uses less digits than its factorization.

8132892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 480 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 8132892 is about 2851.8225751263. The cubic root of 8132892 is about 201.1013572615.

It can be divided in two parts, 813 and 2892, that multiplied together give a triangular number (2351196 = T₂₁₆₈).

The spelling of 8132892 in words is "eight million, one hundred thirty-two thousand, eight hundred ninety-two".