827127144 has 24 divisors (see below), whose sum is σ = 2240136210. Its totient is φ = 275709024.

The previous prime is 827127139. The next prime is 827127149. The reversal of 827127144 is 441721728.

827127144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (827127139) and next prime (827127149).

It can be written as a sum of positive squares in only one way, i.e., 821510244 + 5616900 = 28662^2 + 2370^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 827127099 and 827127108.

It is not an unprimeable number, because it can be changed into a prime (827127149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5743867 + ... + 5744010.

Almost surely, 2^827127144 is an apocalyptic number.

It is an amenable number.

827127144 is an abundant number, since it is smaller than the sum of its proper divisors (1413009066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

827127144 is a wasteful number, since it uses less digits than its factorization.

827127144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11487889 (or 11487882 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 827127144 is about 28759.8182191752. The cubic root of 827127144 is about 938.6941063516.

The spelling of 827127144 in words is "eight hundred twenty-seven million, one hundred twenty-seven thousand, one hundred forty-four".