413393 has 4 divisors (see below), whose sum is σ = 417588. Its totient is φ = 409200.

The previous prime is 413353. The next prime is 413411. The reversal of 413393 is 393314.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 393314 = 2 ⋅196657.

It can be written as a sum of positive squares in 2 ways, for example, as 305809 + 107584 = 553^2 + 328^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413393 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (413353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1946 + ... + 2147.

It is an arithmetic number, because the mean of its divisors is an integer number (104397).

2⁴¹³³⁹³ is an apocalyptic number.

It is an amenable number.

413393 is a deficient number, since it is larger than the sum of its proper divisors (4195).

413393 is a wasteful number, since it uses less digits than its factorization.

413393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4194.

The product of its digits is 972, while the sum is 23.

The square root of 413393 is about 642.9564526467. The cubic root of 413393 is about 74.4939562384.

The spelling of 413393 in words is "four hundred thirteen thousand, three hundred ninety-three".