83406813 has 32 divisors (see below), whose sum is σ = 132495360. Its totient is φ = 45662400.

The previous prime is 83406749. The next prime is 83406839. The reversal of 83406813 is 31860438.

It is not a de Polignac number, because 83406813 - 2⁶ = 83406749 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83406853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91506 + ... + 92412.

It is an arithmetic number, because the mean of its divisors is an integer number (4140480).

Almost surely, 2^83406813 is an apocalyptic number.

It is an amenable number.

83406813 is a deficient number, since it is larger than the sum of its proper divisors (49088547).

83406813 is a wasteful number, since it uses less digits than its factorization.

83406813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 83406813 is about 9132.7330520496. The cubic root of 83406813 is about 436.9185754558.

The spelling of 83406813 in words is "eighty-three million, four hundred six thousand, eight hundred thirteen".