8292132 has 72 divisors (see below), whose sum is σ = 22932000. Its totient is φ = 2612736.

The previous prime is 8292103. The next prime is 8292133. The reversal of 8292132 is 2312928.

It is a happy number.

8292132 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8292096 and 8292105.

It is not an unprimeable number, because it can be changed into a prime (8292133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18244 + ... + 18692.

It is an arithmetic number, because the mean of its divisors is an integer number (318500).

Almost surely, 2^8292132 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 8292132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11466000).

8292132 is an abundant number, since it is smaller than the sum of its proper divisors (14639868).

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

8292132 is a wasteful number, since it uses less digits than its factorization.

8292132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 8292132 is about 2879.6062230798. The cubic root of 8292132 is about 202.4053879010.

The spelling of 8292132 in words is "eight million, two hundred ninety-two thousand, one hundred thirty-two".