83609 has 2 divisors, whose sum is σ = 83610. Its totient is φ = 83608.

The previous prime is 83597. The next prime is 83617. The reversal of 83609 is 90638.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64009 + 19600 = 253^2 + 140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83609 is a prime.

It is a plaindrome in base 16.

It is not a weakly prime, because it can be changed into another prime (83639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41804 + 41805.

It is an arithmetic number, because the mean of its divisors is an integer number (41805).

2⁸³⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

83609 is a deficient number, since it is larger than the sum of its proper divisors (1).

83609 is an equidigital number, since it uses as much as digits as its factorization.

83609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 83609 is about 289.1522090526. The cubic root of 83609 is about 43.7271336290.

The spelling of 83609 in words is "eighty-three thousand, six hundred nine".