393073 has 2 divisors, whose sum is σ = 393074. Its totient is φ = 393072.

The previous prime is 393059. The next prime is 393077. The reversal of 393073 is 370393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 369664 + 23409 = 608^2 + 153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-393073 is a prime.

393073 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (393077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196536 + 196537.

It is an arithmetic number, because the mean of its divisors is an integer number (196537).

2³⁹³⁰⁷³ is an apocalyptic number.

It is an amenable number.

393073 is a deficient number, since it is larger than the sum of its proper divisors (1).

393073 is an equidigital number, since it uses as much as digits as its factorization.

393073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701, while the sum is 25.

The square root of 393073 is about 626.9553413123. The cubic root of 393073 is about 73.2528294713.

The spelling of 393073 in words is "three hundred ninety-three thousand, seventy-three".