872601 has 8 divisors (see below), whose sum is σ = 1170624. Its totient is φ = 578160.

The previous prime is 872587. The next prime is 872609. The reversal of 872601 is 106278.

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

It is not a de Polignac number, because 872601 - 2⁹ = 872089 is a prime.

It is a super-2 number, since 2×872601² = 1522865010402, which contains 22 as substring.

872601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (872609) 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, 261 + ... + 1346.

It is an arithmetic number, because the mean of its divisors is an integer number (146328).

2⁸⁷²⁶⁰¹ is an apocalyptic number.

It is an amenable number.

872601 is a deficient number, since it is larger than the sum of its proper divisors (298023).

872601 is a wasteful number, since it uses less digits than its factorization.

872601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 872601 is about 934.1311471094. The cubic root of 872601 is about 95.5590672848.

Adding to 872601 its reverse (106278), we get a palindrome (978879).

The spelling of 872601 in words is "eight hundred seventy-two thousand, six hundred one".