126905 has 8 divisors (see below), whose sum is σ = 161352. Its totient is φ = 95488.

The previous prime is 126859. The next prime is 126913. The reversal of 126905 is 509621.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 76729 = 224^2 + 277^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126905 is a prime.

It is a super-2 number, since 2×126905² = 32209758050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

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, 662 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (20169).

2¹²⁶⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

126905 is a deficient number, since it is larger than the sum of its proper divisors (34447).

126905 is a wasteful number, since it uses less digits than its factorization.

126905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 126905 is about 356.2372804747. The cubic root of 126905 is about 50.2527204949.

The spelling of 126905 in words is "one hundred twenty-six thousand, nine hundred five".