948385 has 16 divisors (see below), whose sum is σ = 1224000. Its totient is φ = 703296.

The previous prime is 948377. The next prime is 948391. The reversal of 948385 is 583849.

948385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 948385 - 2³ = 948377 is a prime.

Its product of digits (34560) is a multiple of the sum of its prime divisors (240).

948385 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6291 + ... + 6439.

It is an arithmetic number, because the mean of its divisors is an integer number (76500).

2⁹⁴⁸³⁸⁵ is an apocalyptic number.

948385 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

948385 is a deficient number, since it is larger than the sum of its proper divisors (275615).

948385 is a wasteful number, since it uses less digits than its factorization.

948385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240.

The product of its digits is 34560, while the sum is 37.

The square root of 948385 is about 973.8506045590. The cubic root of 948385 is about 98.2490196235.

The spelling of 948385 in words is "nine hundred forty-eight thousand, three hundred eighty-five".