126565 has 8 divisors (see below), whose sum is σ = 160920. Its totient is φ = 95232.

The previous prime is 126551. The next prime is 126583. The reversal of 126565 is 565621.

It can be written as a sum of positive squares in 4 ways, for example, as 12321 + 114244 = 111^2 + 338^2 .

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 126565 - 2¹³ = 118373 is a prime.

It is a plaindrome in base 15.

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 7 ways as a sum of consecutive naturals, for example, 660 + ... + 829.

It is an arithmetic number, because the mean of its divisors is an integer number (20115).

2¹²⁶⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

126565 is a deficient number, since it is larger than the sum of its proper divisors (34355).

126565 is a wasteful number, since it uses less digits than its factorization.

126565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511.

The product of its digits is 1800, while the sum is 25.

The square root of 126565 is about 355.7597503934. The cubic root of 126565 is about 50.2078018382.

The spelling of 126565 in words is "one hundred twenty-six thousand, five hundred sixty-five".