83488 has 12 divisors (see below), whose sum is σ = 164430. Its totient is φ = 41728.

The previous prime is 83477. The next prime is 83497. The reversal of 83488 is 88438.

It can be written as a sum of positive squares in only one way, i.e., 71824 + 11664 = 268^2 + 108^2 .

It is a super-2 number, since 2×83488² = 13940492288, which contains 22 as substring.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 1273 + ... + 1336.

2⁸³⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

83488 is a deficient number, since it is larger than the sum of its proper divisors (80942).

83488 is a wasteful number, since it uses less digits than its factorization.

83488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2611 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 83488 is about 288.9429009337. The cubic root of 83488 is about 43.7060292917.

Subtracting 83488 from its reverse (88438), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 83 and 488, that multiplied together give a palindrome (40504).

The spelling of 83488 in words is "eighty-three thousand, four hundred eighty-eight".