83287248 has 80 divisors (see below), whose sum is σ = 236074176. Its totient is φ = 25093120.

The previous prime is 83287247. The next prime is 83287249. The reversal of 83287248 is 84278238.

It is an interprime number because it is at equal distance from previous prime (83287247) and next prime (83287249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83287247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122686 + ... + 123362.

Almost surely, 2^83287248 is an apocalyptic number.

83287248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83287248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118037088).

83287248 is an abundant number, since it is smaller than the sum of its proper divisors (152786928).

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

83287248 is a wasteful number, since it uses less digits than its factorization.

83287248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 926 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 83287248 is about 9126.1847450071. The cubic root of 83287248 is about 436.7096990269.

It can be divided in two parts, 8328 and 7248, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 83287248 in words is "eighty-three million, two hundred eighty-seven thousand, two hundred forty-eight".