398413 has 4 divisors (see below), whose sum is σ = 400320. Its totient is φ = 396508.

The previous prime is 398407. The next prime is 398417. The reversal of 398413 is 314893.

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: 314893 = 23 ⋅13691.

It is a 3-Lehmer number, since φ(398413) divides (398413-1)³.

It is a cyclic number.

It is not a de Polignac number, because 398413 - 2¹⁷ = 267341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398417) 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, 595 + ... + 1072.

It is an arithmetic number, because the mean of its divisors is an integer number (100080).

2³⁹⁸⁴¹³ is an apocalyptic number.

It is an amenable number.

398413 is a deficient number, since it is larger than the sum of its proper divisors (1907).

398413 is a wasteful number, since it uses less digits than its factorization.

398413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906.

The product of its digits is 2592, while the sum is 28.

The square root of 398413 is about 631.1996514574. The cubic root of 398413 is about 73.5830581870.

The spelling of 398413 in words is "three hundred ninety-eight thousand, four hundred thirteen".