393249 has 8 divisors (see below), whose sum is σ = 535680. Its totient is φ = 256496.

The previous prime is 393247. The next prime is 393257. The reversal of 393249 is 942393.

393249 is nontrivially palindromic in base 8.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 393249 - 2¹ = 393247 is a prime.

393249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (393241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1254 + ... + 1535.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

2³⁹³²⁴⁹ is an apocalyptic number.

It is an amenable number.

393249 is a deficient number, since it is larger than the sum of its proper divisors (142431).

393249 is a wasteful number, since it uses less digits than its factorization.

393249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839.

The product of its digits is 5832, while the sum is 30.

The square root of 393249 is about 627.0956864785. The cubic root of 393249 is about 73.2637609219.

The spelling of 393249 in words is "three hundred ninety-three thousand, two hundred forty-nine".