393939 has 36 divisors (see below), whose sum is σ = 723216. Its totient is φ = 202176.

The previous prime is 393931. The next prime is 393947. The reversal of 393939 is 939393.

It is an interprime number because it is at equal distance from previous prime (393931) and next prime (393947).

It is not a de Polignac number, because 393939 - 2³ = 393931 is a prime.

It is a nude number because it is divisible by every one of its digits.

393939 is an undulating number in base 10.

393939 is a modest number, since divided by 3939 gives 39 as remainder.

393939 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (393931) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10629 + ... + 10665.

2³⁹³⁹³⁹ is an apocalyptic number.

393939 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

393939 is a deficient number, since it is larger than the sum of its proper divisors (329277).

393939 is a wasteful number, since it uses less digits than its factorization.

393939 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 60 counting only the distinct ones).

The product of its digits is 19683, while the sum is 36.

The square root of 393939 is about 627.6456006378. The cubic root of 393939 is about 73.3065857457.

The spelling of 393939 in words is "three hundred ninety-three thousand, nine hundred thirty-nine".