872393 has 2 divisors, whose sum is σ = 872394. Its totient is φ = 872392.

The previous prime is 872387. The next prime is 872411. The reversal of 872393 is 393278.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 795664 + 76729 = 892^2 + 277^2 .

It is a cyclic number.

It is not a de Polignac number, because 872393 - 2¹⁶ = 806857 is a prime.

It is a super-2 number, since 2×872393² = 1522139092898, which contains 22 as substring.

It is equal to p₆₉₂₆₉ and since 872393 and 69269 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (872323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436196 + 436197.

It is an arithmetic number, because the mean of its divisors is an integer number (436197).

2⁸⁷²³⁹³ is an apocalyptic number.

It is an amenable number.

872393 is a deficient number, since it is larger than the sum of its proper divisors (1).

872393 is an equidigital number, since it uses as much as digits as its factorization.

872393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9072, while the sum is 32.

The square root of 872393 is about 934.0198070705. The cubic root of 872393 is about 95.5514739458.

The spelling of 872393 in words is "eight hundred seventy-two thousand, three hundred ninety-three".