71825 has 18 divisors (see below), whose sum is σ = 102114. Its totient is φ = 49920.

The previous prime is 71821. The next prime is 71837. The reversal of 71825 is 52817.

71825 is nontrivially palindromic in base 4.

It is a Cunningham number, because it is equal to 268²+1.

It can be written as a sum of positive squares in 9 ways, for example, as 35344 + 36481 = 188^2 + 191^2 .

It is not a de Polignac number, because 71825 - 2² = 71821 is a prime.

It is a Duffinian number.

Its product of digits (560) is a multiple of the sum of its prime divisors (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 71825.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71825.

It is not an unprimeable number, because it can be changed into a prime (71821) 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, 4217 + ... + 4233.

It is an arithmetic number, because the mean of its divisors is an integer number (5673).

2⁷¹⁸²⁵ is an apocalyptic number.

It is an amenable number.

71825 is a deficient number, since it is larger than the sum of its proper divisors (30289).

71825 is a wasteful number, since it uses less digits than its factorization.

71825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 35 counting only the distinct ones).

The product of its digits is 560, while the sum is 23.

The square root of 71825 is about 268.0018656651. The cubic root of 71825 is about 41.5679440548.

The spelling of 71825 in words is "seventy-one thousand, eight hundred twenty-five".