398961 has 12 divisors (see below), whose sum is σ = 583492. Its totient is φ = 262656.

The previous prime is 398941. The next prime is 398969. The reversal of 398961 is 169893.

It can be written as a sum of positive squares in 2 ways, for example, as 269361 + 129600 = 519^2 + 360^2 .

It is not a de Polignac number, because 398961 - 2⁷ = 398833 is a prime.

It is a Duffinian number.

398961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (398969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645 + ... + 1101.

2³⁹⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

398961 is a deficient number, since it is larger than the sum of its proper divisors (184531).

398961 is a wasteful number, since it uses less digits than its factorization.

398961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 557 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 398961 is about 631.6335963199. The cubic root of 398961 is about 73.6167795115.

The spelling of 398961 in words is "three hundred ninety-eight thousand, nine hundred sixty-one".