872361 has 24 divisors (see below), whose sum is σ = 1470144. Its totient is φ = 488160.

The previous prime is 872353. The next prime is 872369. The reversal of 872361 is 163278.

It is an interprime number because it is at equal distance from previous prime (872353) and next prime (872369).

It is not a de Polignac number, because 872361 - 2³ = 872353 is a prime.

It is a super-2 number, since 2×872361² = 1522027428642, which contains 22 as substring.

It is a d-powerful number, because it can be written as 8⁵ + 7⁷ + 3⁸ + 2¹³ + 6⁴ + 1 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (872369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3730 + ... + 3956.

It is an arithmetic number, because the mean of its divisors is an integer number (61256).

2⁸⁷²³⁶¹ is an apocalyptic number.

It is an amenable number.

872361 is a deficient number, since it is larger than the sum of its proper divisors (597783).

872361 is a wasteful number, since it uses less digits than its factorization.

872361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 298 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 872361 is about 934.0026766557. The cubic root of 872361 is about 95.5503056327.

The spelling of 872361 in words is "eight hundred seventy-two thousand, three hundred sixty-one".