393133047 has 16 divisors (see below), whose sum is σ = 564600960. Its totient is φ = 242518752.

The previous prime is 393133033. The next prime is 393133049. The reversal of 393133047 is 740331393.

It is not a de Polignac number, because 393133047 - 2⁸ = 393132791 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 393132999 and 393133017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393133049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77748 + ... + 82649.

It is an arithmetic number, because the mean of its divisors is an integer number (35287560).

Almost surely, 2^393133047 is an apocalyptic number.

393133047 is a deficient number, since it is larger than the sum of its proper divisors (171467913).

393133047 is a wasteful number, since it uses less digits than its factorization.

393133047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160462.

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 393133047 is about 19827.5829843176. The cubic root of 393133047 is about 732.5655938806.

The spelling of 393133047 in words is "three hundred ninety-three million, one hundred thirty-three thousand, forty-seven".