393641 has 4 divisors (see below), whose sum is σ = 403284. Its totient is φ = 384000.

The previous prime is 393637. The next prime is 393649. The reversal of 393641 is 146393.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 146393 = 13 ⋅11261.

It can be written as a sum of positive squares in 2 ways, for example, as 143641 + 250000 = 379^2 + 500^2 .

It is a cyclic number.

It is not a de Polignac number, because 393641 - 2² = 393637 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 393641.

It is not an unprimeable number, because it can be changed into a prime (393649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4760 + ... + 4841.

It is an arithmetic number, because the mean of its divisors is an integer number (100821).

2³⁹³⁶⁴¹ is an apocalyptic number.

It is an amenable number.

393641 is a deficient number, since it is larger than the sum of its proper divisors (9643).

393641 is an equidigital number, since it uses as much as digits as its factorization.

393641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642.

The product of its digits is 1944, while the sum is 26.

The square root of 393641 is about 627.4081606100. The cubic root of 393641 is about 73.2880965268.

The spelling of 393641 in words is "three hundred ninety-three thousand, six hundred forty-one".