127416961 has 16 divisors (see below), whose sum is σ = 147432960. Its totient is φ = 107864640.

The previous prime is 127416959. The next prime is 127416977. The reversal of 127416961 is 169614721.

It is a cyclic number.

It is not a de Polignac number, because 127416961 - 2¹ = 127416959 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

Its product of digits (18144) is a multiple of the sum of its prime divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 127416961.

It is not an unprimeable number, because it can be changed into a prime (127416911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295416 + ... + 295846.

It is an arithmetic number, because the mean of its divisors is an integer number (9214560).

Almost surely, 2^127416961 is an apocalyptic number.

127416961 is the 6034-th nonagonal number.

It is an amenable number.

127416961 is a deficient number, since it is larger than the sum of its proper divisors (20015999).

127416961 is a wasteful number, since it uses less digits than its factorization.

127416961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864.

The product of its digits is 18144, while the sum is 37.

The square root of 127416961 is about 11287.9121630176. The cubic root of 127416961 is about 503.2020644578.

The spelling of 127416961 in words is "one hundred twenty-seven million, four hundred sixteen thousand, nine hundred sixty-one".