827072101 has 4 divisors (see below), whose sum is σ = 833022400. Its totient is φ = 821121804.

The previous prime is 827072087. The next prime is 827072107. The reversal of 827072101 is 101270728.

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 827072101 - 2⁵ = 827072069 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 827072101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827072107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2974941 + ... + 2975218.

It is an arithmetic number, because the mean of its divisors is an integer number (208255600).

Almost surely, 2^827072101 is an apocalyptic number.

It is an amenable number.

827072101 is a deficient number, since it is larger than the sum of its proper divisors (5950299).

827072101 is a wasteful number, since it uses less digits than its factorization.

827072101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950298.

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 827072101 is about 28758.8612604880. The cubic root of 827072101 is about 938.6732833998.

The spelling of 827072101 in words is "eight hundred twenty-seven million, seventy-two thousand, one hundred one".