393200641 has 2 divisors, whose sum is σ = 393200642. Its totient is φ = 393200640.

The previous prime is 393200629. The next prime is 393200651. The reversal of 393200641 is 146002393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 388878400 + 4322241 = 19720^2 + 2079^2 .

It is a cyclic number.

It is not a de Polignac number, because 393200641 - 2⁵ = 393200609 is a prime.

It is not a weakly prime, because it can be changed into another prime (393200651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196600320 + 196600321.

It is an arithmetic number, because the mean of its divisors is an integer number (196600321).

Almost surely, 2^393200641 is an apocalyptic number.

It is an amenable number.

393200641 is a deficient number, since it is larger than the sum of its proper divisors (1).

393200641 is an equidigital number, since it uses as much as digits as its factorization.

393200641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 393200641 is about 19829.2874556803. The cubic root of 393200641 is about 732.6075764456.

The spelling of 393200641 in words is "three hundred ninety-three million, two hundred thousand, six hundred forty-one".