273825 has 18 divisors (see below), whose sum is σ = 490854. Its totient is φ = 145920.

The previous prime is 273821. The next prime is 273827. The reversal of 273825 is 528372.

273825 is nontrivially palindromic in base 2.

It can be written as a sum of positive squares in 3 ways, for example, as 7569 + 266256 = 87^2 + 516^2 .

It is not a de Polignac number, because 273825 - 2² = 273821 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 384 + ... + 833.

2²⁷³⁸²⁵ is an apocalyptic number.

273825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

273825 is a deficient number, since it is larger than the sum of its proper divisors (217029).

273825 is a wasteful number, since it uses less digits than its factorization.

273825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1225 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 273825 is about 523.2829062754. The cubic root of 273825 is about 64.9368222425.

The spelling of 273825 in words is "two hundred seventy-three thousand, eight hundred twenty-five".