83128 has 8 divisors (see below), whose sum is σ = 155880. Its totient is φ = 41560.

The previous prime is 83117. The next prime is 83137. The reversal of 83128 is 82138.

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 83099 and 83108.

It is a congruent number.

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 as a sum of consecutive naturals, namely, 5188 + ... + 5203.

It is an arithmetic number, because the mean of its divisors is an integer number (19485).

2⁸³¹²⁸ is an apocalyptic number.

It is an amenable number.

83128 is a deficient number, since it is larger than the sum of its proper divisors (72752).

83128 is a wasteful number, since it uses less digits than its factorization.

83128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10397 (or 10393 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 83128 is about 288.3192674796. The cubic root of 83128 is about 43.6431186933.

Subtracting from 83128 its reverse (82138), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 8 and 3128, that added together give a square (3136 = 56²).

The spelling of 83128 in words is "eighty-three thousand, one hundred twenty-eight".