83456 has 20 divisors (see below), whose sum is σ = 167772. Its totient is φ = 41472.

The previous prime is 83449. The next prime is 83459. The reversal of 83456 is 65438.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83459) by changing a digit.

83456 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 as a sum of consecutive naturals, namely, 431 + ... + 593.

2⁸³⁴⁵⁶ 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 83456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83886).

83456 is an abundant number, since it is smaller than the sum of its proper divisors (84316).

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

83456 is an equidigital number, since it uses as much as digits as its factorization.

83456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 83456 is about 288.8875213643. The cubic root of 83456 is about 43.7004445703.

The spelling of 83456 in words is "eighty-three thousand, four hundred fifty-six".