393148 has 24 divisors (see below), whose sum is σ = 828800. Its totient is φ = 159408.

The previous prime is 393143. The next prime is 393157. The reversal of 393148 is 841393.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393143) by changing a digit.

393148 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163 + ... + 901.

2³⁹³¹⁴⁸ is an apocalyptic number.

393148 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414400).

393148 is an abundant number, since it is smaller than the sum of its proper divisors (435652).

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

393148 is a wasteful number, since it uses less digits than its factorization.

393148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 393148 is about 627.0151513321. The cubic root of 393148 is about 73.2574881588.

393148 divided by its sum of digits (28) gives a palindrome (14041).

The spelling of 393148 in words is "three hundred ninety-three thousand, one hundred forty-eight".