398013 has 16 divisors (see below), whose sum is σ = 662016. Its totient is φ = 206640.

The previous prime is 398011. The next prime is 398023. The reversal of 398013 is 310893.

It is not a de Polignac number, because 398013 - 2¹ = 398011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631 + ... + 1092.

It is an arithmetic number, because the mean of its divisors is an integer number (41376).

2³⁹⁸⁰¹³ is an apocalyptic number.

398013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

398013 is a deficient number, since it is larger than the sum of its proper divisors (264003).

398013 is a wasteful number, since it uses less digits than its factorization.

398013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 398013 is about 630.8827149320. The cubic root of 398013 is about 73.5584245539.

It can be divided in two parts, 3980 and 13, that added together give a palindrome (3993).

The spelling of 398013 in words is "three hundred ninety-eight thousand, thirteen".