193264 has 20 divisors (see below), whose sum is σ = 383904. Its totient is φ = 94208.

The previous prime is 193261. The next prime is 193283. The reversal of 193264 is 462391.

193264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 624 + ... + 880.

2¹⁹³²⁶⁴ is an apocalyptic number.

It is an amenable number.

193264 is a deficient number, since it is larger than the sum of its proper divisors (190640).

193264 is a wasteful number, since it uses less digits than its factorization.

193264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

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

The square root of 193264 is about 439.6180160094. The cubic root of 193264 is about 57.8163034751.

The spelling of 193264 in words is "one hundred ninety-three thousand, two hundred sixty-four".