126315 has 24 divisors (see below), whose sum is σ = 250848. Its totient is φ = 57600.

The previous prime is 126311. The next prime is 126317. The reversal of 126315 is 513621.

It is not a de Polignac number, because 126315 - 2² = 126311 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 126315.

It is not an unprimeable number, because it can be changed into a prime (126311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (10452).

2¹²⁶³¹⁵ is an apocalyptic number.

126315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126315 is a deficient number, since it is larger than the sum of its proper divisors (124533).

126315 is a wasteful number, since it uses less digits than its factorization.

126315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 416 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 126315 is about 355.4082159996. The cubic root of 126315 is about 50.1747220661.

Adding to 126315 its reverse (513621), we get a palindrome (639936).

It can be divided in two parts, 126 and 315, that added together give a square (441 = 21²).

The spelling of 126315 in words is "one hundred twenty-six thousand, three hundred fifteen".