83413 has 4 divisors (see below), whose sum is σ = 91008. Its totient is φ = 75820.

The previous prime is 83407. The next prime is 83417. The reversal of 83413 is 31438.

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 a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83413 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3781 + ... + 3802.

It is an arithmetic number, because the mean of its divisors is an integer number (22752).

2⁸³⁴¹³ is an apocalyptic number.

It is an amenable number.

83413 is a deficient number, since it is larger than the sum of its proper divisors (7595).

83413 is a wasteful number, since it uses less digits than its factorization.

83413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594.

The product of its digits is 288, while the sum is 19.

The square root of 83413 is about 288.8130883461. The cubic root of 83413 is about 43.6929378524.

It can be divided in two parts, 83 and 413, that added together give a triangular number (496 = T₃₁).

The spelling of 83413 in words is "eighty-three thousand, four hundred thirteen".