382961 has 2 divisors, whose sum is σ = 382962. Its totient is φ = 382960.

The previous prime is 382939. The next prime is 382979. The reversal of 382961 is 169283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 295936 + 87025 = 544^2 + 295^2 .

It is an emirp because it is prime and its reverse (169283) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 382961 - 2¹⁰ = 381937 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 382961.

It is not a weakly prime, because it can be changed into another prime (382061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191480 + 191481.

It is an arithmetic number, because the mean of its divisors is an integer number (191481).

2³⁸²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

382961 is a deficient number, since it is larger than the sum of its proper divisors (1).

382961 is an equidigital number, since it uses as much as digits as its factorization.

382961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 29.

The square root of 382961 is about 618.8384280246. The cubic root of 382961 is about 72.6192093503.

The spelling of 382961 in words is "three hundred eighty-two thousand, nine hundred sixty-one".