126633 has 16 divisors (see below), whose sum is σ = 193536. Its totient is φ = 72960.

The previous prime is 126631. The next prime is 126641. The reversal of 126633 is 336621.

It is not a de Polignac number, because 126633 - 2¹ = 126631 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (126631) 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 in 15 ways as a sum of consecutive naturals, for example, 568 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2¹²⁶⁶³³ is an apocalyptic number.

126633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

126633 is a deficient number, since it is larger than the sum of its proper divisors (66903).

126633 is a wasteful number, since it uses less digits than its factorization.

126633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its digits is 648, while the sum is 21.

The square root of 126633 is about 355.8553076743. The cubic root of 126633 is about 50.2167919994.

The spelling of 126633 in words is "one hundred twenty-six thousand, six hundred thirty-three".