83406 has 8 divisors (see below), whose sum is σ = 166824. Its totient is φ = 27800.

The previous prime is 83401. The next prime is 83407. The reversal of 83406 is 60438.

It is a sphenic number, since it is the product of 3 distinct primes.

83406 is an admirable number.

It is a plaindrome in base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83401) by changing a digit.

83406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6945 + ... + 6956.

It is an arithmetic number, because the mean of its divisors is an integer number (20853).

2⁸³⁴⁰⁶ is an apocalyptic number.

83406 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83412).

83406 is a wasteful number, since it uses less digits than its factorization.

83406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13906.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 83406 is about 288.8009695275. The cubic root of 83406 is about 43.6917155844.

The spelling of 83406 in words is "eighty-three thousand, four hundred six".