393121 has 2 divisors, whose sum is σ = 393122. Its totient is φ = 393120.

The previous prime is 393109. The next prime is 393137. The reversal of 393121 is 121393.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 314721 + 78400 = 561^2 + 280^2 .

It is a cyclic number.

It is not a de Polignac number, because 393121 - 2¹¹ = 391073 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (393161) 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, 196560 + 196561.

It is an arithmetic number, because the mean of its divisors is an integer number (196561).

2³⁹³¹²¹ is an apocalyptic number.

It is an amenable number.

393121 is a deficient number, since it is larger than the sum of its proper divisors (1).

393121 is an equidigital number, since it uses as much as digits as its factorization.

393121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162, while the sum is 19.

The square root of 393121 is about 626.9936203822. The cubic root of 393121 is about 73.2558110996.

It can be divided in two parts, 39 and 3121, that added together give a triangular number (3160 = T₇₉).

The spelling of 393121 in words is "three hundred ninety-three thousand, one hundred twenty-one".