827828601 has 4 divisors (see below), whose sum is σ = 1103771472. Its totient is φ = 551885732.

The previous prime is 827828579. The next prime is 827828629. The reversal of 827828601 is 106828728.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 827828601 - 2⁵ = 827828569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (827828641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137971431 + ... + 137971436.

It is an arithmetic number, because the mean of its divisors is an integer number (275942868).

Almost surely, 2^827828601 is an apocalyptic number.

It is an amenable number.

827828601 is a deficient number, since it is larger than the sum of its proper divisors (275942871).

827828601 is a wasteful number, since it uses less digits than its factorization.

827828601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275942870.

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 827828601 is about 28772.0107222279. The cubic root of 827828601 is about 938.9593890260.

The spelling of 827828601 in words is "eight hundred twenty-seven million, eight hundred twenty-eight thousand, six hundred one".