456193 has 2 divisors, whose sum is σ = 456194. Its totient is φ = 456192.

The previous prime is 456167. The next prime is 456223. The reversal of 456193 is 391654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 237169 + 219024 = 487^2 + 468^2 .

It is a cyclic number.

It is not a de Polignac number, because 456193 - 2⁹ = 455681 is a prime.

It is a super-2 number, since 2×456193² = 416224106498, which contains 22 as substring.

It is equal to p₃₈₁₇₉ and since 456193 and 38179 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 (456293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228096 + 228097.

It is an arithmetic number, because the mean of its divisors is an integer number (228097).

2⁴⁵⁶¹⁹³ is an apocalyptic number.

It is an amenable number.

456193 is a deficient number, since it is larger than the sum of its proper divisors (1).

456193 is an equidigital number, since it uses as much as digits as its factorization.

456193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3240, while the sum is 28.

The square root of 456193 is about 675.4206096944. The cubic root of 456193 is about 76.9808801687.

The spelling of 456193 in words is "four hundred fifty-six thousand, one hundred ninety-three".