393954 has 32 divisors (see below), whose sum is σ = 884736. Its totient is φ = 115920.

The previous prime is 393947. The next prime is 393961. The reversal of 393954 is 459393.

It is an interprime number because it is at equal distance from previous prime (393947) and next prime (393961).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393954.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3039 + ... + 3165.

It is an arithmetic number, because the mean of its divisors is an integer number (27648).

2³⁹³⁹⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442368).

393954 is an abundant number, since it is smaller than the sum of its proper divisors (490782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

393954 is a wasteful number, since it uses less digits than its factorization.

393954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its digits is 14580, while the sum is 33.

The square root of 393954 is about 627.6575499426. The cubic root of 393954 is about 73.3075161646.

It can be divided in two parts, 3939 and 54, that added together give a palindrome (3993).

The spelling of 393954 in words is "three hundred ninety-three thousand, nine hundred fifty-four".