83409 has 4 divisors (see below), whose sum is σ = 111216. Its totient is φ = 55604.

The previous prime is 83407. The next prime is 83417. The reversal of 83409 is 90438.

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 not a de Polignac number, because 83409 - 2¹ = 83407 is a prime.

It is a super-2 number, since 2×83409² = 13914122562, which contains 22 as substring.

It is a D-number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (83401) 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, 13899 + ... + 13904.

It is an arithmetic number, because the mean of its divisors is an integer number (27804).

2⁸³⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

83409 is a deficient number, since it is larger than the sum of its proper divisors (27807).

83409 is a wasteful number, since it uses less digits than its factorization.

83409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27806.

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

The square root of 83409 is about 288.8061633691. The cubic root of 83409 is about 43.6922394219.

It can be divided in two parts, 8 and 3409, that multiplied together give a palindrome (27272).

The spelling of 83409 in words is "eighty-three thousand, four hundred nine".