872101 has 4 divisors (see below), whose sum is σ = 880672. Its totient is φ = 863532.

The previous prime is 872099. The next prime is 872107. The reversal of 872101 is 101278.

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 872101 - 2¹ = 872099 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

872101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4131 + ... + 4336.

It is an arithmetic number, because the mean of its divisors is an integer number (220168).

2⁸⁷²¹⁰¹ is an apocalyptic number.

It is an amenable number.

872101 is a deficient number, since it is larger than the sum of its proper divisors (8571).

872101 is a wasteful number, since it uses less digits than its factorization.

872101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8570.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 872101 is about 933.8634803867. The cubic root of 872101 is about 95.5408120293.

Adding to 872101 its reverse (101278), we get a palindrome (973379).

The spelling of 872101 in words is "eight hundred seventy-two thousand, one hundred one".