293825 has 24 divisors (see below), whose sum is σ = 440448. Its totient is φ = 190080.

The previous prime is 293803. The next prime is 293827. The reversal of 293825 is 528392.

293825 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 293825 - 2¹⁰ = 292801 is a prime.

It is an Ulam number.

It is a Duffinian number.

Its product of digits (4320) is a multiple of the sum of its prime divisors (108).

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 293825.

It is not an unprimeable number, because it can be changed into a prime (293827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3989 + ... + 4061.

It is an arithmetic number, because the mean of its divisors is an integer number (18352).

2²⁹³⁸²⁵ is an apocalyptic number.

293825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

293825 is a deficient number, since it is larger than the sum of its proper divisors (146623).

293825 is a wasteful number, since it uses less digits than its factorization.

293825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 108 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 293825 is about 542.0562701418. The cubic root of 293825 is about 66.4808017394.

The spelling of 293825 in words is "two hundred ninety-three thousand, eight hundred twenty-five".