827212993 has 8 divisors (see below), whose sum is σ = 842133600. Its totient is φ = 812423040.

The previous prime is 827212949. The next prime is 827213011. The reversal of 827212993 is 399212728.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 827212993 - 2¹⁷ = 827081921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827212933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19843 + ... + 45256.

It is an arithmetic number, because the mean of its divisors is an integer number (105266700).

Almost surely, 2^827212993 is an apocalyptic number.

It is an amenable number.

827212993 is a deficient number, since it is larger than the sum of its proper divisors (14920607).

827212993 is a wasteful number, since it uses less digits than its factorization.

827212993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65327.

The product of its digits is 108864, while the sum is 43.

The square root of 827212993 is about 28761.3106968372. The cubic root of 827212993 is about 938.7265814727.

The spelling of 827212993 in words is "eight hundred twenty-seven million, two hundred twelve thousand, nine hundred ninety-three".