393965 has 32 divisors (see below), whose sum is σ = 604800. Its totient is φ = 241920.

The previous prime is 393961. The next prime is 393977. The reversal of 393965 is 569393.

It is not a de Polignac number, because 393965 - 2² = 393961 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13571 + ... + 13599.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2³⁹³⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

393965 is a deficient number, since it is larger than the sum of its proper divisors (210835).

393965 is a wasteful number, since it uses less digits than its factorization.

393965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77.

The product of its digits is 21870, while the sum is 35.

The square root of 393965 is about 627.6663126216. Note that the first 3 decimals coincide. The cubic root of 393965 is about 73.3081984568.

It can be divided in two parts, 3939 and 65, that added together give a palindrome (4004).

The spelling of 393965 in words is "three hundred ninety-three thousand, nine hundred sixty-five".