827980471 has 4 divisors (see below), whose sum is σ = 828041512. Its totient is φ = 827919432.

The previous prime is 827980463. The next prime is 827980481. The reversal of 827980471 is 174089728.

827980471 is a nontrivial binomial coefficient, being equal to C(40694, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a 3-Lehmer number, since φ(827980471) divides (827980471-1)³.

It is a cyclic number.

It is not a de Polignac number, because 827980471 - 2³ = 827980463 is a prime.

It is a super-3 number, since 3×827980471³ (a number of 28 digits) contains 333 as substring.

It is a deceptive number, since it divides R_827980470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827980411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 40693.

It is an arithmetic number, because the mean of its divisors is an integer number (207010378).

Almost surely, 2^827980471 is an apocalyptic number.

827980471 is the 40693-rd triangular number and also the 20347-th hexagonal number.

827980471 is the 13565-th centered nonagonal number.

827980471 is a deficient number, since it is larger than the sum of its proper divisors (61041).

827980471 is a wasteful number, since it uses less digits than its factorization.

827980471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61040.

The product of its (nonzero) digits is 225792, while the sum is 46.

The square root of 827980471 is about 28774.6497980427. The cubic root of 827980471 is about 939.0168047128.

The spelling of 827980471 in words is "eight hundred twenty-seven million, nine hundred eighty thousand, four hundred seventy-one".