827541645 has 24 divisors (see below), whose sum is σ = 1540242144. Its totient is φ = 378304416.

The previous prime is 827541641. The next prime is 827541721. The reversal of 827541645 is 546145728.

It is a happy number.

It is not a de Polignac number, because 827541645 - 2² = 827541641 is a prime.

It is a super-3 number, since 3×827541645³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 827541597 and 827541606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827541641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562219 + ... + 563688.

It is an arithmetic number, because the mean of its divisors is an integer number (64176756).

Almost surely, 2^827541645 is an apocalyptic number.

It is an amenable number.

827541645 is a deficient number, since it is larger than the sum of its proper divisors (712700499).

827541645 is a wasteful number, since it uses less digits than its factorization.

827541645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125929 (or 1125922 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 827541645 is about 28767.0235686628. The cubic root of 827541645 is about 938.8508838077.

The spelling of 827541645 in words is "eight hundred twenty-seven million, five hundred forty-one thousand, six hundred forty-five".