8249832 has 48 divisors (see below), whose sum is σ = 22522500. Its totient is φ = 2727936.

The previous prime is 8249827. The next prime is 8249837. The reversal of 8249832 is 2389428.

It is an interprime number because it is at equal distance from previous prime (8249827) and next prime (8249837).

It can be written as a sum of positive squares in 2 ways, for example, as 7650756 + 599076 = 2766^2 + 774^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8249837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10344 + ... + 11112.

Almost surely, 2^8249832 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 8249832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261250).

8249832 is an abundant number, since it is smaller than the sum of its proper divisors (14272668).

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

8249832 is a wasteful number, since it uses less digits than its factorization.

8249832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 923 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 8249832 is about 2872.2520780739. The cubic root of 8249832 is about 202.0606294494.

The spelling of 8249832 in words is "eight million, two hundred forty-nine thousand, eight hundred thirty-two".