83073 has 4 divisors (see below), whose sum is σ = 110768. Its totient is φ = 55380.

The previous prime is 83071. The next prime is 83077. The reversal of 83073 is 37038.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 83073 - 2¹ = 83071 is a prime.

It is a super-2 number, since 2×83073² = 13802246658, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (83071) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13843 + ... + 13848.

It is an arithmetic number, because the mean of its divisors is an integer number (27692).

2⁸³⁰⁷³ is an apocalyptic number.

It is an amenable number.

83073 is a deficient number, since it is larger than the sum of its proper divisors (27695).

83073 is a wasteful number, since it uses less digits than its factorization.

83073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27694.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 83073 is about 288.2238713223. The cubic root of 83073 is about 43.6334913671.

It can be divided in two parts, 830 and 73, that added together give a triangular number (903 = T₄₂).

The spelling of 83073 in words is "eighty-three thousand, seventy-three".