393953 has 8 divisors (see below), whose sum is σ = 454272. Its totient is φ = 334656.

The previous prime is 393947. The next prime is 393961. The reversal of 393953 is 359393.

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

It is not a de Polignac number, because 393953 - 2⁸ = 393697 is a prime.

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (393853) 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, 1001 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (56784).

2³⁹³⁹⁵³ is an apocalyptic number.

It is an amenable number.

393953 is a deficient number, since it is larger than the sum of its proper divisors (60319).

393953 is a wasteful number, since it uses less digits than its factorization.

393953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511.

The product of its digits is 10935, while the sum is 32.

The square root of 393953 is about 627.6567533294. The cubic root of 393953 is about 73.3074541374.

The spelling of 393953 in words is "three hundred ninety-three thousand, nine hundred fifty-three".