127056321 has 48 divisors (see below), whose sum is σ = 219967488. Its totient is φ = 69141600.

The previous prime is 127056313. The next prime is 127056331. The reversal of 127056321 is 123650721.

It is a happy number.

127056321 is a `hidden beast` number, since 1 + 27 + 0 + 5 + 632 + 1 = 666.

It is not a de Polignac number, because 127056321 - 2³ = 127056313 is a prime.

It is a super-2 number, since 2×127056321² = 32286617412110082, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (127056331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130366 + ... + 131336.

It is an arithmetic number, because the mean of its divisors is an integer number (4582656).

Almost surely, 2^127056321 is an apocalyptic number.

It is an amenable number.

127056321 is a deficient number, since it is larger than the sum of its proper divisors (92911167).

127056321 is a wasteful number, since it uses less digits than its factorization.

127056321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 127056321 is about 11271.9262329027. The cubic root of 127056321 is about 502.7268627374.

The spelling of 127056321 in words is "one hundred twenty-seven million, fifty-six thousand, three hundred twenty-one".