126165 has 16 divisors (see below), whose sum is σ = 217728. Its totient is φ = 62016.

The previous prime is 126151. The next prime is 126173. The reversal of 126165 is 561621.

It is a happy number.

It is not a de Polignac number, because 126165 - 2⁷ = 126037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (13608).

2¹²⁶¹⁶⁵ is an apocalyptic number.

126165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126165 is a deficient number, since it is larger than the sum of its proper divisors (91563).

126165 is a wasteful number, since it uses less digits than its factorization.

126165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668.

The product of its digits is 360, while the sum is 21.

The square root of 126165 is about 355.1971283668. The cubic root of 126165 is about 50.1548532477.

Adding to 126165 its reverse (561621), we get a palindrome (687786).

It can be divided in two parts, 12616 and 5, that added together give a palindrome (12621).

The spelling of 126165 in words is "one hundred twenty-six thousand, one hundred sixty-five".