872381 has 2 divisors, whose sum is σ = 872382. Its totient is φ = 872380.

The previous prime is 872369. The next prime is 872383. The reversal of 872381 is 183278.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 872356 + 25 = 934^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 872381 - 2⁶ = 872317 is a prime.

It is a super-2 number, since 2×872381² = 1522097218322, which contains 22 as substring.

Together with 872383, it forms a pair of twin primes.

It is a Chen prime.

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

It is equal to p₆₉₂₆₆ and since 872381 and 69266 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872381.

It is not a weakly prime, because it can be changed into another prime (872383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436190 + 436191.

It is an arithmetic number, because the mean of its divisors is an integer number (436191).

2⁸⁷²³⁸¹ is an apocalyptic number.

It is an amenable number.

872381 is a deficient number, since it is larger than the sum of its proper divisors (1).

872381 is an equidigital number, since it uses as much as digits as its factorization.

872381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2688, while the sum is 29.

The square root of 872381 is about 934.0133832018. The cubic root of 872381 is about 95.5510358317.

The spelling of 872381 in words is "eight hundred seventy-two thousand, three hundred eighty-one".