127963 has 4 divisors (see below), whose sum is σ = 139608. Its totient is φ = 116320.

The previous prime is 127951. The next prime is 127973. The reversal of 127963 is 369721.

127963 = T₁₄₇ + T₁₄₈ + ... + T₁₅₇.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 127963 - 2⁵ = 127931 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127913) 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, 5806 + ... + 5827.

It is an arithmetic number, because the mean of its divisors is an integer number (34902).

2¹²⁷⁹⁶³ is an apocalyptic number.

127963 is a deficient number, since it is larger than the sum of its proper divisors (11645).

127963 is a wasteful number, since it uses less digits than its factorization.

127963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11644.

The product of its digits is 2268, while the sum is 28.

The square root of 127963 is about 357.7191635907. The cubic root of 127963 is about 50.3919855821.

The spelling of 127963 in words is "one hundred twenty-seven thousand, nine hundred sixty-three".