398353 has 2 divisors, whose sum is σ = 398354. Its totient is φ = 398352.

The previous prime is 398347. The next prime is 398357. The reversal of 398353 is 353893.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 394384 + 3969 = 628^2 + 63^2 .

It is a cyclic number.

It is not a de Polignac number, because 398353 - 2¹³ = 390161 is a prime.

It is a super-2 number, since 2×398353² = 317370225218, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (398357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 199176 + 199177.

It is an arithmetic number, because the mean of its divisors is an integer number (199177).

2³⁹⁸³⁵³ is an apocalyptic number.

It is an amenable number.

398353 is a deficient number, since it is larger than the sum of its proper divisors (1).

398353 is an equidigital number, since it uses as much as digits as its factorization.

398353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9720, while the sum is 31.

The square root of 398353 is about 631.1521211245. The cubic root of 398353 is about 73.5793641935.

The spelling of 398353 in words is "three hundred ninety-eight thousand, three hundred fifty-three".