398325313 has 8 divisors (see below), whose sum is σ = 410003432. Its totient is φ = 386695296.

The previous prime is 398325311. The next prime is 398325331. The reversal of 398325313 is 313523893.

398325313 = 14112² + 14113².

It can be written as a sum of positive squares in 4 ways, for example, as 76947984 + 321377329 = 8772^2 + 17927^2 .

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 398325313 - 2¹ = 398325311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (398325311) 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, 5131 + ... + 28687.

It is an arithmetic number, because the mean of its divisors is an integer number (51250429).

Almost surely, 2^398325313 is an apocalyptic number.

398325313 is the 14113-rd centered square number.

It is an amenable number.

398325313 is a deficient number, since it is larger than the sum of its proper divisors (11678119).

398325313 is a wasteful number, since it uses less digits than its factorization.

398325313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24051.

The product of its digits is 58320, while the sum is 37.

The square root of 398325313 is about 19958.0889115166. The cubic root of 398325313 is about 735.7765947506.

The spelling of 398325313 in words is "three hundred ninety-eight million, three hundred twenty-five thousand, three hundred thirteen".