827145801 has 24 divisors (see below), whose sum is σ = 1238952000. Its totient is φ = 531129312.

The previous prime is 827145799. The next prime is 827145821. The reversal of 827145801 is 108541728.

827145801 is a `hidden beast` number, since 8 + 2 + 71 + 4 + 580 + 1 = 666.

827145801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 827145801 - 2¹ = 827145799 is a prime.

It is a super-2 number, since 2×827145801² = 1368340352223863202, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (827145821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110970 + ... + 118188.

It is an arithmetic number, because the mean of its divisors is an integer number (51623000).

Almost surely, 2^827145801 is an apocalyptic number.

It is an amenable number.

827145801 is a deficient number, since it is larger than the sum of its proper divisors (411806199).

827145801 is a wasteful number, since it uses less digits than its factorization.

827145801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7693 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 827145801 is about 28760.1425761417. The cubic root of 827145801 is about 938.7011641477.

The spelling of 827145801 in words is "eight hundred twenty-seven million, one hundred forty-five thousand, eight hundred one".