398753 has 8 divisors (see below), whose sum is σ = 433920. Its totient is φ = 365040.

The previous prime is 398731. The next prime is 398759. The reversal of 398753 is 357893.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 398753 - 2¹⁰ = 397729 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (398759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (54240).

2³⁹⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

398753 is a deficient number, since it is larger than the sum of its proper divisors (35167).

398753 is a wasteful number, since it uses less digits than its factorization.

398753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727.

The product of its digits is 22680, while the sum is 35.

The square root of 398753 is about 631.4689224340. The cubic root of 398753 is about 73.6039838148.

The spelling of 398753 in words is "three hundred ninety-eight thousand, seven hundred fifty-three".