393041 has 4 divisors (see below), whose sum is σ = 428784. Its totient is φ = 357300.

The previous prime is 393031. The next prime is 393059. The reversal of 393041 is 140393.

393041 = 184² + 185² + ... + 194².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 140393 = 11 ⋅12763.

It is a cyclic number.

It is not a de Polignac number, because 393041 - 2¹⁴ = 376657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (393031) 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 3 ways as a sum of consecutive naturals, for example, 17855 + ... + 17876.

It is an arithmetic number, because the mean of its divisors is an integer number (107196).

2³⁹³⁰⁴¹ is an apocalyptic number.

It is an amenable number.

393041 is a deficient number, since it is larger than the sum of its proper divisors (35743).

393041 is a wasteful number, since it uses less digits than its factorization.

393041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35742.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 393041 is about 626.9298206339. The cubic root of 393041 is about 73.2508415843.

The spelling of 393041 in words is "three hundred ninety-three thousand, forty-one".