827964401301 has 12 divisors (see below), whose sum is σ = 1196518377600. Its totient is φ = 551713283880.

The previous prime is 827964401273. The next prime is 827964401351. The reversal of 827964401301 is 103104469728.

827964401301 is a `hidden beast` number, since 8 + 2 + 79 + 6 + 440 + 130 + 1 = 666.

It is not a de Polignac number, because 827964401301 - 2¹⁴ = 827964384917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827964401351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21895365 + ... + 21933146.

It is an arithmetic number, because the mean of its divisors is an integer number (99709864800).

Almost surely, 2^827964401301 is an apocalyptic number.

It is an amenable number.

827964401301 is a deficient number, since it is larger than the sum of its proper divisors (368553976299).

827964401301 is a wasteful number, since it uses less digits than its factorization.

827964401301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43830616 (or 43830613 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 827964401301 in words is "eight hundred twenty-seven billion, nine hundred sixty-four million, four hundred one thousand, three hundred one".