33125 has 10 divisors (see below), whose sum is σ = 42174. Its totient is φ = 26000.

The previous prime is 33119. The next prime is 33149. The reversal of 33125 is 52133.

Adding to 33125 its reverse (52133), we get a palindrome (85258).

33125 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 182^{2}+1.

33125 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 5 ways, for example, as 9409 + 23716 = 97^2 + 154^2 .

It is not a de Polignac number, because 33125 - 2^{8} = 32869 is a prime.

It is a Duffinian number.

33125 is strictly pandigital in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 33125.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 599 + ... + 651.

2^{33125} is an apocalyptic number.

It is an amenable number.

33125 is a deficient number, since it is larger than the sum of its proper divisors (9049).

33125 is an frugal number, since it uses more digits than its factorization.

33125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 58 counting only the distinct ones).

The product of its digits is 90, while the sum is 14.

The square root of 33125 is about 182.0027472320. The cubic root of 33125 is about 32.1157914428.

The spelling of 33125 in words is "thirty-three thousand, one hundred twenty-five".

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