393337 has 8 divisors (see below), whose sum is σ = 455616. Its totient is φ = 332592.

The previous prime is 393331. The next prime is 393361. The reversal of 393337 is 733393.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 393337 - 2⁷ = 393209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (393331) 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 in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 919.

It is an arithmetic number, because the mean of its divisors is an integer number (56952).

2³⁹³³³⁷ is an apocalyptic number.

It is an amenable number.

393337 is a deficient number, since it is larger than the sum of its proper divisors (62279).

393337 is an equidigital number, since it uses as much as digits as its factorization.

393337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767.

The product of its digits is 5103, while the sum is 28.

The square root of 393337 is about 627.1658472844. The cubic root of 393337 is about 73.2692254241.

It can be divided in two parts, 39333 and 7, that added together give a triangular number (39340 = T₂₈₀).

The spelling of 393337 in words is "three hundred ninety-three thousand, three hundred thirty-seven".