126005 has 16 divisors (see below), whose sum is σ = 172800. Its totient is φ = 87360.

The previous prime is 126001. The next prime is 126011. The reversal of 126005 is 500621.

126005 = T₂₂₂ + T₂₂₃ + ... + T₂₂₆.

126005 = 15² + 16² + ... + 72².

It is not a de Polignac number, because 126005 - 2² = 126001 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126005.

It is not an unprimeable number, because it can be changed into a prime (126001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1556 + ... + 1634.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2¹²⁶⁰⁰⁵ is an apocalyptic number.

126005 is the 290-th pentagonal number.

It is an amenable number.

126005 is a deficient number, since it is larger than the sum of its proper divisors (46795).

126005 is a wasteful number, since it uses less digits than its factorization.

126005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 126005 is about 354.9718298682. The cubic root of 126005 is about 50.1336424755.

Adding to 126005 its reverse (500621), we get a palindrome (626626).

The spelling of 126005 in words is "one hundred twenty-six thousand, five".