83088 has 30 divisors (see below), whose sum is σ = 232934. Its totient is φ = 27648.

The previous prime is 83077. The next prime is 83089. The reversal of 83088 is 88038.

83088 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 144 = 288^2 + 12^2 .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (83089) by changing a digit.

83088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145 + ... + 432.

2⁸³⁰⁸⁸ is an apocalyptic number.

It is an amenable number.

83088 is an abundant number, since it is smaller than the sum of its proper divisors (149846).

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

83088 is a wasteful number, since it uses less digits than its factorization.

83088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 83088 is about 288.2498915871. The cubic root of 83088 is about 43.6361174229.

Subtracting 83088 from its reverse (88038), we obtain a triangular number (4950 = T₉₉).

The spelling of 83088 in words is "eighty-three thousand, eighty-eight".