126767 has 4 divisors (see below), whose sum is σ = 128040. Its totient is φ = 125496.

The previous prime is 126761. The next prime is 126781. The reversal of 126767 is 767621.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 767621 = 181 ⋅4241.

It is a cyclic number.

It is not a de Polignac number, because 126767 - 2⁴ = 126751 is a prime.

It is a d-powerful number, because it can be written as 1 + 2¹⁵ + 7³ + 6⁶ + 6⁶ + 7³ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126761) 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 3 ways as a sum of consecutive naturals, for example, 473 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (32010).

2¹²⁶⁷⁶⁷ is an apocalyptic number.

126767 is a deficient number, since it is larger than the sum of its proper divisors (1273).

126767 is a wasteful number, since it uses less digits than its factorization.

126767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272.

The product of its digits is 3528, while the sum is 29.

The square root of 126767 is about 356.0435366637. The cubic root of 126767 is about 50.2344984898.

The spelling of 126767 in words is "one hundred twenty-six thousand, seven hundred sixty-seven".