83049 has 16 divisors (see below), whose sum is σ = 122880. Its totient is φ = 49680.

The previous prime is 83047. The next prime is 83059. The reversal of 83049 is 94038.

It is not a de Polignac number, because 83049 - 2¹ = 83047 is a prime.

It is a Curzon number.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83049.

It is not an unprimeable number, because it can be changed into a prime (83047) 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 15 ways as a sum of consecutive naturals, for example, 1744 + ... + 1790.

It is an arithmetic number, because the mean of its divisors is an integer number (7680).

2⁸³⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

83049 is a deficient number, since it is larger than the sum of its proper divisors (39831).

83049 is a wasteful number, since it uses less digits than its factorization.

83049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 83049 is about 288.1822340117. The cubic root of 83049 is about 43.6292890204.

The spelling of 83049 in words is "eighty-three thousand, forty-nine".