399993 has 32 divisors (see below), whose sum is σ = 663552. Its totient is φ = 211200.

The previous prime is 399989. The next prime is 400009.

399993 is nontrivially palindromic in base 10.

399993 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 399993 - 2² = 399989 is a prime.

399993 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 399993.

It is not an unprimeable number, because it can be changed into a prime (399913) 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, 12888 + ... + 12918.

It is an arithmetic number, because the mean of its divisors is an integer number (20736).

2³⁹⁹⁹⁹³ is an apocalyptic number.

399993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

399993 is a deficient number, since it is larger than the sum of its proper divisors (263559).

399993 is a wasteful number, since it uses less digits than its factorization.

399993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85.

The product of its digits is 59049, while the sum is 42.

The square root of 399993 is about 632.4499980236. The cubic root of 399993 is about 73.6802001666.

Multiplying 399993 by its sum of digits (42), we get a triangular number (16799706 = T₅₇₉₆).

The spelling of 399993 in words is "three hundred ninety-nine thousand, nine hundred ninety-three".