126031 has 2 divisors, whose sum is σ = 126032. Its totient is φ = 126030.

The previous prime is 126023. The next prime is 126037. The reversal of 126031 is 130621.

It is a strong prime.

It is an emirp because it is prime and its reverse (130621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126031 - 2³ = 126023 is a prime.

It is a super-2 number, since 2×126031² = 31767625922, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126037) by changing a digit.

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 as a sum of consecutive naturals, namely, 63015 + 63016.

It is an arithmetic number, because the mean of its divisors is an integer number (63016).

2¹²⁶⁰³¹ is an apocalyptic number.

126031 is a deficient number, since it is larger than the sum of its proper divisors (1).

126031 is an equidigital number, since it uses as much as digits as its factorization.

126031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 126031 is about 355.0084506036. The cubic root of 126031 is about 50.1370904473.

Adding to 126031 its reverse (130621), we get a palindrome (256652).

It can be divided in two parts, 1260 and 31, that multiplied together give a triangular number (39060 = T₂₇₉).

The spelling of 126031 in words is "one hundred twenty-six thousand, thirty-one".