83454 has 16 divisors (see below), whose sum is σ = 190848. Its totient is φ = 23832.

The previous prime is 83449. The next prime is 83459. The reversal of 83454 is 45438.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (83449) and next prime (83459).

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

It is a Curzon number.

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.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 952 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (11928).

2⁸³⁴⁵⁴ is an apocalyptic number.

83454 is an abundant number, since it is smaller than the sum of its proper divisors (107394).

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 (95424).

83454 is a wasteful number, since it uses less digits than its factorization.

83454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999.

The product of its digits is 1920, while the sum is 24.

The square root of 83454 is about 288.8840597887. The cubic root of 83454 is about 43.7000954778.

It can be divided in two parts, 834 and 54, that added together give a palindrome (888).

The spelling of 83454 in words is "eighty-three thousand, four hundred fifty-four".