126205 has 8 divisors (see below), whose sum is σ = 155232. Its totient is φ = 98448.

The previous prime is 126199. The next prime is 126211. The reversal of 126205 is 502621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126199) and next prime (126211).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 126205 - 2⁵ = 126173 is a prime.

It is a Duffinian number.

126205 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79 + ... + 508.

It is an arithmetic number, because the mean of its divisors is an integer number (19404).

2¹²⁶²⁰⁵ is an apocalyptic number.

It is an amenable number.

126205 is a deficient number, since it is larger than the sum of its proper divisors (29027).

126205 is an equidigital number, since it uses as much as digits as its factorization.

126205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 126205 is about 355.2534306661. The cubic root of 126205 is about 50.1601531384.

Adding to 126205 its reverse (502621), we get a palindrome (628826).

The spelling of 126205 in words is "one hundred twenty-six thousand, two hundred five".