398586681 has 24 divisors (see below), whose sum is σ = 593066760. Its totient is φ = 257769216.

The previous prime is 398586647. The next prime is 398586689. The reversal of 398586681 is 186685893.

It can be written as a sum of positive squares in 4 ways, for example, as 155226681 + 243360000 = 12459^2 + 15600^2 .

It is not a de Polignac number, because 398586681 - 2¹⁴ = 398570297 is a prime.

It is a super-2 number, since 2×398586681² = 317742684541191522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (398586689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122605 + ... + 125813.

It is an arithmetic number, because the mean of its divisors is an integer number (24711115).

Almost surely, 2^398586681 is an apocalyptic number.

It is an amenable number.

398586681 is a deficient number, since it is larger than the sum of its proper divisors (194480079).

398586681 is a wasteful number, since it uses less digits than its factorization.

398586681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3622 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 398586681 is about 19964.6357592619. The cubic root of 398586681 is about 735.9374903837.

The spelling of 398586681 in words is "three hundred ninety-eight million, five hundred eighty-six thousand, six hundred eighty-one".