398593 has 4 divisors (see below), whose sum is σ = 429268. Its totient is φ = 367920.

The previous prime is 398591. The next prime is 398609. The reversal of 398593 is 395893.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 395893 = 149 ⋅2657.

It can be written as a sum of positive squares in 2 ways, for example, as 263169 + 135424 = 513^2 + 368^2 .

It is a cyclic number.

It is not a de Polignac number, because 398593 - 2¹ = 398591 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (398591) 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, 15318 + ... + 15343.

It is an arithmetic number, because the mean of its divisors is an integer number (107317).

2³⁹⁸⁵⁹³ is an apocalyptic number.

It is an amenable number.

398593 is a deficient number, since it is larger than the sum of its proper divisors (30675).

398593 is a wasteful number, since it uses less digits than its factorization.

398593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30674.

The product of its digits is 29160, while the sum is 37.

The square root of 398593 is about 631.3422209864. The cubic root of 398593 is about 73.5941379428.

It can be divided in two parts, 3 and 98593, that added together give a square (98596 = 314²).

The spelling of 398593 in words is "three hundred ninety-eight thousand, five hundred ninety-three".