53825 has 6 divisors (see below), whose sum is σ = 66774. Its totient is φ = 43040.

The previous prime is 53819. The next prime is 53831. The reversal of 53825 is 52835.

It is a Cunningham number, because it is equal to 232²+1.

It is an interprime number because it is at equal distance from previous prime (53819) and next prime (53831).

It can be written as a sum of positive squares in 3 ways, for example, as 1 + 53824 = 1^2 + 232^2 .

It is not a de Polignac number, because 53825 - 2⁸ = 53569 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 53825.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1052 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (11129).

2⁵³⁸²⁵ is an apocalyptic number.

It is an amenable number.

53825 is a deficient number, since it is larger than the sum of its proper divisors (12949).

53825 is a wasteful number, since it uses less digits than its factorization.

53825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2158 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 53825 is about 232.0021551624. The cubic root of 53825 is about 37.7567565352.

Subtracting from 53825 its product of digits (1200), we obtain a palindrome (52625).

Subtracting from 53825 its reverse (52835), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 53 and 825, that added together give a palindrome (878).

The spelling of 53825 in words is "fifty-three thousand, eight hundred twenty-five".