83148336 has 80 divisors (see below), whose sum is σ = 246933600. Its totient is φ = 26756352.

The previous prime is 83148319. The next prime is 83148341. The reversal of 83148336 is 63384138.

It is a happy number.

83148336 is a `hidden beast` number, since 8 + 314 + 8 + 336 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 83148336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9210 + ... + 15846.

It is an arithmetic number, because the mean of its divisors is an integer number (3086670).

Almost surely, 2^83148336 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 83148336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123466800).

83148336 is an abundant number, since it is smaller than the sum of its proper divisors (163785264).

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

83148336 is a wasteful number, since it uses less digits than its factorization.

83148336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6683 (or 6671 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 83148336 is about 9118.5709406683. The cubic root of 83148336 is about 436.4667727804.

The spelling of 83148336 in words is "eighty-three million, one hundred forty-eight thousand, three hundred thirty-six".