127961 has 4 divisors (see below), whose sum is σ = 131124. Its totient is φ = 124800.

The previous prime is 127951. The next prime is 127973. The reversal of 127961 is 169721.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 169721 = 43 ⋅3947.

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 126025 = 44^2 + 355^2 .

It is a cyclic number.

It is not a de Polignac number, because 127961 - 2¹⁴ = 111577 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 127961.

It is not an unprimeable number, because it can be changed into a prime (127921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1520 + ... + 1601.

It is an arithmetic number, because the mean of its divisors is an integer number (32781).

2¹²⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

127961 is a deficient number, since it is larger than the sum of its proper divisors (3163).

127961 is an equidigital number, since it uses as much as digits as its factorization.

127961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162.

The product of its digits is 756, while the sum is 26.

The square root of 127961 is about 357.7163680907. The cubic root of 127961 is about 50.3917230466.

The spelling of 127961 in words is "one hundred twenty-seven thousand, nine hundred sixty-one".