83382948 has 72 divisors (see below), whose sum is σ = 231338016. Its totient is φ = 25113600.

The previous prime is 83382947. The next prime is 83382961. The reversal of 83382948 is 84928338.

It is not an unprimeable number, because it can be changed into a prime (83382947) 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, 75883 + ... + 76973.

It is an arithmetic number, because the mean of its divisors is an integer number (3213028).

Almost surely, 2^83382948 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 83382948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115669008).

83382948 is an abundant number, since it is smaller than the sum of its proper divisors (147955068).

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

83382948 is a wasteful number, since it uses less digits than its factorization.

83382948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1300 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 83382948 is about 9131.4263946001. The cubic root of 83382948 is about 436.8768999776.

The spelling of 83382948 in words is "eighty-three million, three hundred eighty-two thousand, nine hundred forty-eight".