83148 has 36 divisors (see below), whose sum is σ = 215208. Its totient is φ = 24960.

The previous prime is 83137. The next prime is 83177. The reversal of 83148 is 84138.

It is a plaindrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2008 + ... + 2048.

It is an arithmetic number, because the mean of its divisors is an integer number (5978).

2⁸³¹⁴⁸ 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 83148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107604).

83148 is an abundant number, since it is smaller than the sum of its proper divisors (132060).

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

83148 is a wasteful number, since it uses less digits than its factorization.

83148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 59 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 83148 is about 288.3539491666. The cubic root of 83148 is about 43.6466184863.

Subtracting 83148 from its reverse (84138), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 83 and 148, that added together give a triangular number (231 = T₂₁).

The spelling of 83148 in words is "eighty-three thousand, one hundred forty-eight".