264193 has 4 divisors (see below), whose sum is σ = 265300. Its totient is φ = 263088.

The previous prime is 264179. The next prime is 264211. The reversal of 264193 is 391462.

264193 is nontrivially palindromic in base 8.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 391462 = 2 ⋅195731.

It can be written as a sum of positive squares in 2 ways, for example, as 178929 + 85264 = 423^2 + 292^2 .

It is a cyclic number.

It is not a de Polignac number, because 264193 - 2¹⁷ = 133121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30 + ... + 727.

It is an arithmetic number, because the mean of its divisors is an integer number (66325).

It is a Proth number, since it is equal to 129 ⋅ 2¹¹ + 1 and 129 < 2¹¹.

2²⁶⁴¹⁹³ is an apocalyptic number.

It is an amenable number.

264193 is a deficient number, since it is larger than the sum of its proper divisors (1107).

264193 is an equidigital number, since it uses as much as digits as its factorization.

264193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106.

The product of its digits is 1296, while the sum is 25.

The square root of 264193 is about 513.9970817038. The cubic root of 264193 is about 64.1663154719.

The spelling of 264193 in words is "two hundred sixty-four thousand, one hundred ninety-three".