126567 has 24 divisors (see below), whose sum is σ = 218400. Its totient is φ = 70560.

The previous prime is 126551. The next prime is 126583. The reversal of 126567 is 765621.

126567 is a `hidden beast` number, since 1 + 2 + 656 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (126551) and next prime (126583).

It is not a de Polignac number, because 126567 - 2⁴ = 126551 is a prime.

It is an Ulam number.

126567 is a modest number, since divided by 567 gives 126 as remainder.

126567 is a lucky number.

It is a plaindrome in base 13 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 126567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126517) 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, 3067 + ... + 3107.

It is an arithmetic number, because the mean of its divisors is an integer number (9100).

2¹²⁶⁵⁶⁷ is an apocalyptic number.

126567 is a deficient number, since it is larger than the sum of its proper divisors (91833).

126567 is an equidigital number, since it uses as much as digits as its factorization.

126567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 51 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 126567 is about 355.7625612680. The cubic root of 126567 is about 50.2080663006.

The spelling of 126567 in words is "one hundred twenty-six thousand, five hundred sixty-seven".