83407 has 2 divisors, whose sum is σ = 83408. Its totient is φ = 83406.

The previous prime is 83401. The next prime is 83417. The reversal of 83407 is 70438.

83407 is nontrivially palindromic in base 3.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 83407 - 2³ = 83399 is a prime.

It is a Chen prime.

It is a plaindrome in base 14 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41703 + 41704.

It is an arithmetic number, because the mean of its divisors is an integer number (41704).

2⁸³⁴⁰⁷ is an apocalyptic number.

83407 is a deficient number, since it is larger than the sum of its proper divisors (1).

83407 is an equidigital number, since it uses as much as digits as its factorization.

83407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 83407 is about 288.8027008184. The cubic root of 83407 is about 43.6918901983.

The spelling of 83407 in words is "eighty-three thousand, four hundred seven".