4971977127 has 24 divisors (see below), whose sum is σ = 7976091600. Its totient is φ = 3059675424.

The previous prime is 4971977119. The next prime is 4971977159. The reversal of 4971977127 is 7217791794.

It is not a de Polignac number, because 4971977127 - 2³ = 4971977119 is a prime.

It is a super-4 number, since 4×4971977127⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971977107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540252 + ... + 549377.

It is an arithmetic number, because the mean of its divisors is an integer number (332337150).

Almost surely, 2^4971977127 is an apocalyptic number.

4971977127 is a deficient number, since it is larger than the sum of its proper divisors (3004114473).

4971977127 is a wasteful number, since it uses less digits than its factorization.

4971977127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089664 (or 1089645 counting only the distinct ones).

The product of its digits is 1555848, while the sum is 54.

The square root of 4971977127 is about 70512.2480637229. The cubic root of 4971977127 is about 1706.7753973840.

The spelling of 4971977127 in words is "four billion, nine hundred seventy-one million, nine hundred seventy-seven thousand, one hundred twenty-seven".