393649 has 2 divisors, whose sum is σ = 393650. Its totient is φ = 393648.

The previous prime is 393637. The next prime is 393667. The reversal of 393649 is 946393.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207025 + 186624 = 455^2 + 432^2 .

It is a cyclic number.

It is not a de Polignac number, because 393649 - 2⁷ = 393521 is a prime.

393649 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (393629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196824 + 196825.

It is an arithmetic number, because the mean of its divisors is an integer number (196825).

2³⁹³⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

393649 is a deficient number, since it is larger than the sum of its proper divisors (1).

393649 is an equidigital number, since it uses as much as digits as its factorization.

393649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 34.

The square root of 393649 is about 627.4145360127. The cubic root of 393649 is about 73.2885930035.

It can be divided in two parts, 39 and 3649, that multiplied together give a triangular number (142311 = T₅₃₃).

The spelling of 393649 in words is "three hundred ninety-three thousand, six hundred forty-nine".