83349324 has 60 divisors (see below), whose sum is σ = 219298464. Its totient is φ = 27603936.

The previous prime is 83349323. The next prime is 83349349. The reversal of 83349324 is 42394338.

It is a happy number.

It is a super-2 number, since 2×83349324² = 13894219622513952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (83349323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55309 + ... + 56795.

Almost surely, 2^83349324 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 83349324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109649232).

83349324 is an abundant number, since it is smaller than the sum of its proper divisors (135949140).

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

83349324 is a wasteful number, since it uses less digits than its factorization.

83349324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1665 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 83349324 is about 9129.5850946251. The cubic root of 83349324 is about 436.8181688494.

The spelling of 83349324 in words is "eighty-three million, three hundred forty-nine thousand, three hundred twenty-four".