398993 has 4 divisors (see below), whose sum is σ = 456000. Its totient is φ = 341988.

The previous prime is 398989. The next prime is 399023. The reversal of 398993 is 399893.

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.

It is a cyclic number.

It is not a de Polignac number, because 398993 - 2² = 398989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 398993.

It is not an unprimeable number, because it can be changed into a prime (398903) 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, 28493 + ... + 28506.

It is an arithmetic number, because the mean of its divisors is an integer number (114000).

2³⁹⁸⁹⁹³ is an apocalyptic number.

It is an amenable number.

398993 is a deficient number, since it is larger than the sum of its proper divisors (57007).

398993 is an equidigital number, since it uses as much as digits as its factorization.

398993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57006.

The product of its digits is 52488, while the sum is 41.

The square root of 398993 is about 631.6589269535. The cubic root of 398993 is about 73.6187476855.

Subtracting 398993 from its reverse (399893), we obtain a square (900 = 30²).

The spelling of 398993 in words is "three hundred ninety-eight thousand, nine hundred ninety-three".