393913 has 8 divisors (see below), whose sum is σ = 429128. Its totient is φ = 359424.

The previous prime is 393901. The next prime is 393919. The reversal of 393913 is 319393.

It is a happy number.

393913 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 393129 = 28^2 + 627^2 .

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

It is not a de Polignac number, because 393913 - 2⁹ = 393401 is a prime.

It is a Duffinian number.

393913 is a Rhonda number in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393919) 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, 1945 + ... + 2137.

It is an arithmetic number, because the mean of its divisors is an integer number (53641).

2³⁹³⁹¹³ is an apocalyptic number.

It is an amenable number.

393913 is a deficient number, since it is larger than the sum of its proper divisors (35215).

393913 is a wasteful number, since it uses less digits than its factorization.

393913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363.

The product of its digits is 2187, while the sum is 28.

The square root of 393913 is about 627.6248879705. The cubic root of 393913 is about 73.3049729638.

The spelling of 393913 in words is "three hundred ninety-three thousand, nine hundred thirteen".