193065 has 16 divisors (see below), whose sum is σ = 315456. Its totient is φ = 100800.

The previous prime is 193057. The next prime is 193073. The reversal of 193065 is 560391.

193065 is nontrivially palindromic in base 14.

193065 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (193057) and next prime (193073).

It is not a de Polignac number, because 193065 - 2³ = 193057 is a prime.

193065 is an undulating number in base 14.

193065 is strictly pandigital in base 7.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (19716).

2¹⁹³⁰⁶⁵ is an apocalyptic number.

193065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

193065 is a deficient number, since it is larger than the sum of its proper divisors (122391).

193065 is a wasteful number, since it uses less digits than its factorization.

193065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 193065 is about 439.3916248633. The cubic root of 193065 is about 57.7964525706.

The spelling of 193065 in words is "one hundred ninety-three thousand, sixty-five".