83448 has 48 divisors (see below), whose sum is σ = 241800. Its totient is φ = 25920.

The previous prime is 83443. The next prime is 83449. The reversal of 83448 is 84438.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83443) by changing a digit.

83448 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 11 ways as a sum of consecutive naturals, for example, 1338 + ... + 1398.

2⁸³⁴⁴⁸ is an apocalyptic number.

83448 is the 183-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120900).

83448 is an abundant number, since it is smaller than the sum of its proper divisors (158352).

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

83448 is a wasteful number, since it uses less digits than its factorization.

83448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 83448 is about 288.8736748131. The cubic root of 83448 is about 43.6990481668.

Subtracting 83448 from its reverse (84438), we obtain a triangular number (990 = T₄₄).

The spelling of 83448 in words is "eighty-three thousand, four hundred forty-eight".