73825 has 6 divisors (see below), whose sum is σ = 91574. Its totient is φ = 59040.

The previous prime is 73823. The next prime is 73847. The reversal of 73825 is 52837.

It can be written as a sum of positive squares in 3 ways, for example, as 12321 + 61504 = 111^2 + 248^2 .

It is not a de Polignac number, because 73825 - 2¹ = 73823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 2953 = 73825 / (7 + 3 + 8 + 2 + 5).

It is a Duffinian number.

It is a plaindrome in base 9 and base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 73825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73823) 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 5 ways as a sum of consecutive naturals, for example, 1452 + ... + 1501.

2⁷³⁸²⁵ is an apocalyptic number.

It is an amenable number.

73825 is a deficient number, since it is larger than the sum of its proper divisors (17749).

73825 is a wasteful number, since it uses less digits than its factorization.

73825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963 (or 2958 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 73825 is about 271.7075633839. The cubic root of 73825 is about 41.9502434208.

It can be divided in two parts, 73 and 825, that added together give a palindrome (898).

The spelling of 73825 in words is "seventy-three thousand, eight hundred twenty-five".