384961 has 2 divisors, whose sum is σ = 384962. Its totient is φ = 384960.

The previous prime is 384941. The next prime is 384973. The reversal of 384961 is 169483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 269361 + 115600 = 519^2 + 340^2 .

It is an emirp because it is prime and its reverse (169483) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 384961 - 2¹³ = 376769 is a prime.

It is a Chen prime.

It is an Ulam number.

384961 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (384941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192480 + 192481.

It is an arithmetic number, because the mean of its divisors is an integer number (192481).

2³⁸⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

384961 is a deficient number, since it is larger than the sum of its proper divisors (1).

384961 is an equidigital number, since it uses as much as digits as its factorization.

384961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5184, while the sum is 31.

The square root of 384961 is about 620.4522544080. The cubic root of 384961 is about 72.7454069836.

The spelling of 384961 in words is "three hundred eighty-four thousand, nine hundred sixty-one".