83248308 has 144 divisors (see below), whose sum is σ = 251212416. Its totient is φ = 22913280.

The previous prime is 83248307. The next prime is 83248309. The reversal of 83248308 is 80384238.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83248307) and next prime (83248309).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83248307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 530166 + ... + 530322.

Almost surely, 2^83248308 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 83248308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125606208).

83248308 is an abundant number, since it is smaller than the sum of its proper divisors (167964108).

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

83248308 is a wasteful number, since it uses less digits than its factorization.

83248308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 83248308 is about 9124.0510739474. The cubic root of 83248308 is about 436.6416288760.

The spelling of 83248308 in words is "eighty-three million, two hundred forty-eight thousand, three hundred eight".