127624961 has 2 divisors, whose sum is σ = 127624962. Its totient is φ = 127624960.

The previous prime is 127624943. The next prime is 127624997. The reversal of 127624961 is 169426721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118810000 + 8814961 = 10900^2 + 2969^2 .

It is an emirp because it is prime and its reverse (169426721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 127624961 - 2⁶ = 127624897 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (127624921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63812480 + 63812481.

It is an arithmetic number, because the mean of its divisors is an integer number (63812481).

Almost surely, 2^127624961 is an apocalyptic number.

It is an amenable number.

127624961 is a deficient number, since it is larger than the sum of its proper divisors (1).

127624961 is an equidigital number, since it uses as much as digits as its factorization.

127624961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36288, while the sum is 38.

The square root of 127624961 is about 11297.1218015918. The cubic root of 127624961 is about 503.4757306078.

The spelling of 127624961 in words is "one hundred twenty-seven million, six hundred twenty-four thousand, nine hundred sixty-one".