83013 has 16 divisors (see below), whose sum is σ = 130560. Its totient is φ = 45936.

The previous prime is 83009. The next prime is 83023. The reversal of 83013 is 31038.

83013 is nontrivially palindromic in base 2 and base 4.

It is not a de Polignac number, because 83013 - 2² = 83009 is a prime.

It is a Curzon number.

It is a plaindrome in base 14 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 82983 and 83001.

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 83013.

It is not an unprimeable number, because it can be changed into a prime (83003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1206 + ... + 1272.

It is an arithmetic number, because the mean of its divisors is an integer number (8160).

2⁸³⁰¹³ is an apocalyptic number.

It is an amenable number.

83013 is a deficient number, since it is larger than the sum of its proper divisors (47547).

83013 is a wasteful number, since it uses less digits than its factorization.

83013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 83013 is about 288.1197667638. The cubic root of 83013 is about 43.6229839820.

Adding to 83013 its sum of digits (15), we get a triangular number (83028 = T₄₀₇).

The spelling of 83013 in words is "eighty-three thousand, thirteen".