380193 has 16 divisors (see below), whose sum is σ = 568512. Its totient is φ = 224000.

The previous prime is 380189. The next prime is 380197. The reversal of 380193 is 391083.

It is an interprime number because it is at equal distance from previous prime (380189) and next prime (380197).

It is a cyclic number.

It is not a de Polignac number, because 380193 - 2² = 380189 is a prime.

380193 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 380193.

It is not an unprimeable number, because it can be changed into a prime (380197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213 + ... + 1493.

It is an arithmetic number, because the mean of its divisors is an integer number (35532).

2³⁸⁰¹⁹³ is an apocalyptic number.

380193 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

380193 is a deficient number, since it is larger than the sum of its proper divisors (188319).

380193 is a wasteful number, since it uses less digits than its factorization.

380193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 380193 is about 616.5979240964. The cubic root of 380193 is about 72.4438248958.

The spelling of 380193 in words is "three hundred eighty thousand, one hundred ninety-three".