333825 has 12 divisors (see below), whose sum is σ = 552048. Its totient is φ = 178000.

The previous prime is 333821. The next prime is 333857. The reversal of 333825 is 528333.

It is not a de Polignac number, because 333825 - 2² = 333821 is a prime.

It is a super-2 number, since 2×333825² = 222878261250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333795 and 333804.

It is not an unprimeable number, because it can be changed into a prime (333821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2151 + ... + 2300.

It is an arithmetic number, because the mean of its divisors is an integer number (46004).

It is a Proth number, since it is equal to 163 ⋅ 2¹¹ + 1 and 163 < 2¹¹.

2³³³⁸²⁵ is an apocalyptic number.

It is an amenable number.

333825 is a deficient number, since it is larger than the sum of its proper divisors (218223).

333825 is a wasteful number, since it uses less digits than its factorization.

333825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 4459 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 333825 is about 577.7759081166. The cubic root of 333825 is about 69.3702009504.

It can be divided in two parts, 3 and 33825, that multiplied together give a triangular number (101475 = T₄₅₀).

The spelling of 333825 in words is "three hundred thirty-three thousand, eight hundred twenty-five".