83353416 has 32 divisors (see below), whose sum is σ = 209174400. Its totient is φ = 27679040.

The previous prime is 83353409. The next prime is 83353421. The reversal of 83353416 is 61435338.

83353416 is a nontrivial binomial coefficient, being equal to C(12912, 2).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1 + ... + 12911.

It is an arithmetic number, because the mean of its divisors is an integer number (6536700).

Almost surely, 2^83353416 is an apocalyptic number.

83353416 is the 12911-st triangular number and also the 6456-th hexagonal number.

It is an amenable number.

83353416 is an abundant number, since it is smaller than the sum of its proper divisors (125820984).

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

83353416 is a wasteful number, since it uses less digits than its factorization.

83353416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13189 (or 13185 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 83353416 is about 9129.8091984444. The cubic root of 83353416 is about 436.8253172005.

The spelling of 83353416 in words is "eighty-three million, three hundred fifty-three thousand, four hundred sixteen".