83349392 has 60 divisors (see below), whose sum is σ = 192511116. Its totient is φ = 34836480.

The previous prime is 83349391. The next prime is 83349397. The reversal of 83349392 is 29394338.

It can be written as a sum of positive squares in 2 ways, for example, as 23193856 + 60155536 = 4816^2 + 7756^2 .

It is a super-2 number, since 2×83349392² = 13894242293539328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (83349391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30848 + ... + 33440.

Almost surely, 2^83349392 is an apocalyptic number.

83349392 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83349392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96255558).

83349392 is an abundant number, since it is smaller than the sum of its proper divisors (109161724).

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

83349392 is a wasteful number, since it uses less digits than its factorization.

83349392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2643 counting only the distinct ones).

The product of its digits is 139968, while the sum is 41.

The square root of 83349392 is about 9129.5888187804. The cubic root of 83349392 is about 436.8182876411.

The spelling of 83349392 in words is "eighty-three million, three hundred forty-nine thousand, three hundred ninety-two".