360393 has 16 divisors (see below), whose sum is σ = 535296. Its totient is φ = 213840.

The previous prime is 360391. The next prime is 360407. The reversal of 360393 is 393063.

It is not a de Polignac number, because 360393 - 2¹ = 360391 is a prime.

It is a super-2 number, since 2×360393² = 259766228898, which contains 22 as substring.

360393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (360391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2130 + ... + 2292.

It is an arithmetic number, because the mean of its divisors is an integer number (33456).

2³⁶⁰³⁹³ is an apocalyptic number.

360393 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

360393 is a deficient number, since it is larger than the sum of its proper divisors (174903).

360393 is a wasteful number, since it uses less digits than its factorization.

360393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244.

The product of its (nonzero) digits is 1458, while the sum is 24.

The square root of 360393 is about 600.3274106685. The cubic root of 360393 is about 71.1637429548.

The spelling of 360393 in words is "three hundred sixty thousand, three hundred ninety-three".