827684145 has 12 divisors (see below), whose sum is σ = 1434652596. Its totient is φ = 441431520.

The previous prime is 827684131. The next prime is 827684149. The reversal of 827684145 is 541486728.

827684145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 370023696 + 457660449 = 19236^2 + 21393^2 .

It is not a de Polignac number, because 827684145 - 2⁴ = 827684129 is a prime.

It is a super-2 number, since 2×827684145² = 1370122087768762050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 18392981 = 827684145 / (8 + 2 + 7 + 6 + 8 + 4 + 1 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 827684145.

It is not an unprimeable number, because it can be changed into a prime (827684149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9196446 + ... + 9196535.

It is an arithmetic number, because the mean of its divisors is an integer number (119554383).

Almost surely, 2^827684145 is an apocalyptic number.

It is an amenable number.

827684145 is a deficient number, since it is larger than the sum of its proper divisors (606968451).

827684145 is a wasteful number, since it uses less digits than its factorization.

827684145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18392992 (or 18392989 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 827684145 is about 28769.5002563479. The cubic root of 827684145 is about 938.9047697454.

The spelling of 827684145 in words is "eight hundred twenty-seven million, six hundred eighty-four thousand, one hundred forty-five".