827000821 has 6 divisors (see below), whose sum is σ = 872818422. Its totient is φ = 783474120.

The previous prime is 827000813. The next prime is 827000833. The reversal of 827000821 is 128000728.

827000821 = T₂₃₄₇₉ + T₂₃₄₈₀ + T₂₃₄₈₁.

It can be written as a sum of positive squares in only one way, i.e., 615734596 + 211266225 = 24814^2 + 14535^2 .

It is not a de Polignac number, because 827000821 - 2³ = 827000813 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 827000821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827000891) 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, 1145070 + ... + 1145791.

It is an arithmetic number, because the mean of its divisors is an integer number (145469737).

Almost surely, 2^827000821 is an apocalyptic number.

827000821 is the 23481-st centered triangular number.

It is an amenable number.

827000821 is a deficient number, since it is larger than the sum of its proper divisors (45817601).

827000821 is a wasteful number, since it uses less digits than its factorization.

827000821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290899 (or 2290880 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 827000821 is about 28757.6219635769. The cubic root of 827000821 is about 938.6463165635.

The spelling of 827000821 in words is "eight hundred twenty-seven million, eight hundred twenty-one", and thus it is an aban number.