127950033 has 16 divisors (see below), whose sum is σ = 175974656. Its totient is φ = 82632960.

The previous prime is 127949981. The next prime is 127950037. The reversal of 127950033 is 330059721.

It is not a de Polignac number, because 127950033 - 2¹⁰ = 127949009 is a prime.

It is the 11312-nd Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127950037) by changing a digit.

It is a nontrivial repunit in base 11311.

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 15 ways as a sum of consecutive naturals, for example, 24360 + ... + 29142.

It is an arithmetic number, because the mean of its divisors is an integer number (10998416).

Almost surely, 2^127950033 is an apocalyptic number.

It is an amenable number.

127950033 is a deficient number, since it is larger than the sum of its proper divisors (48024623).

127950033 is a wasteful number, since it uses less digits than its factorization.

127950033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 127950033 is about 11311.5000331521. The cubic root of 127950033 is about 503.9028338448.

The spelling of 127950033 in words is "one hundred twenty-seven million, nine hundred fifty thousand, thirty-three".