126837 has 12 divisors (see below), whose sum is σ = 194220. Its totient is φ = 79488.

The previous prime is 126827. The next prime is 126839. The reversal of 126837 is 738621.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 40401 = 294^2 + 201^2 .

It is not a de Polignac number, because 126837 - 2¹⁰ = 125813 is a prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 126837.

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 126837.

It is not an unprimeable number, because it can be changed into a prime (126839) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 262 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (16185).

2¹²⁶⁸³⁷ is an apocalyptic number.

126837 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

126837 is a deficient number, since it is larger than the sum of its proper divisors (67383).

126837 is a wasteful number, since it uses less digits than its factorization.

126837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 849 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 126837 is about 356.1418256818. The cubic root of 126837 is about 50.2437431877.

The spelling of 126837 in words is "one hundred twenty-six thousand, eight hundred thirty-seven".