83493324 has 72 divisors (see below), whose sum is σ = 224825328. Its totient is φ = 26035200.

The previous prime is 83493317. The next prime is 83493329. The reversal of 83493324 is 42339438.

It is a happy number.

It is a super-2 number, since 2×83493324² = 13942270305137952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 (83493329) 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, 138624 + ... + 139224.

It is an arithmetic number, because the mean of its divisors is an integer number (3122574).

Almost surely, 2^83493324 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 83493324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112412664).

83493324 is an abundant number, since it is smaller than the sum of its proper divisors (141332004).

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

83493324 is a wasteful number, since it uses less digits than its factorization.

83493324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 850 counting only the distinct ones).

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

The square root of 83493324 is about 9137.4681394793. The cubic root of 83493324 is about 437.0695831122.

The spelling of 83493324 in words is "eighty-three million, four hundred ninety-three thousand, three hundred twenty-four".