393029 has 12 divisors (see below), whose sum is σ = 493164. Its totient is φ = 310464.

The previous prime is 393017. The next prime is 393031. The reversal of 393029 is 920393.

It can be written as a sum of positive squares in 2 ways, for example, as 30625 + 362404 = 175^2 + 602^2 .

It is not a de Polignac number, because 393029 - 2⁴ = 393013 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 392989 and 393007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393059) 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 in 11 ways as a sum of consecutive naturals, for example, 329 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (41097).

2³⁹³⁰²⁹ is an apocalyptic number.

It is an amenable number.

393029 is a deficient number, since it is larger than the sum of its proper divisors (100135).

393029 is a wasteful number, since it uses less digits than its factorization.

393029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

The square root of 393029 is about 626.9202501116. The cubic root of 393029 is about 73.2500960988.

The spelling of 393029 in words is "three hundred ninety-three thousand, twenty-nine".