83493 has 6 divisors (see below), whose sum is σ = 120614. Its totient is φ = 55656.

The previous prime is 83477. The next prime is 83497. The reversal of 83493 is 39438.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 3969 = 282^2 + 63^2 .

It is not a de Polignac number, because 83493 - 2⁴ = 83477 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83493.

It is not an unprimeable number, because it can be changed into a prime (83497) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4630 + ... + 4647.

2⁸³⁴⁹³ is an apocalyptic number.

It is an amenable number.

83493 is a deficient number, since it is larger than the sum of its proper divisors (37121).

83493 is a wasteful number, since it uses less digits than its factorization.

83493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283 (or 9280 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 83493 is about 288.9515530327. The cubic root of 83493 is about 43.7069017755.

It can be divided in two parts, 83 and 493, that added together give a square (576 = 24²).

The spelling of 83493 in words is "eighty-three thousand, four hundred ninety-three".