126527 has 4 divisors (see below), whose sum is σ = 130920. Its totient is φ = 122136.

The previous prime is 126517. The next prime is 126541. The reversal of 126527 is 725621.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 725621 = 13 ⋅55817.

It is a cyclic number.

It is not a de Polignac number, because 126527 - 2⁸ = 126271 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

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 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, 2153 + ... + 2210.

It is an arithmetic number, because the mean of its divisors is an integer number (32730).

2¹²⁶⁵²⁷ is an apocalyptic number.

126527 is a deficient number, since it is larger than the sum of its proper divisors (4393).

126527 is an equidigital number, since it uses as much as digits as its factorization.

126527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392.

The product of its digits is 840, while the sum is 23.

The square root of 126527 is about 355.7063395555. The cubic root of 126527 is about 50.2027765219.

The spelling of 126527 in words is "one hundred twenty-six thousand, five hundred twenty-seven".