35225 has 6 divisors (see below), whose sum is σ = 43710. Its totient is φ = 28160.

The previous prime is 35221. The next prime is 35227. The reversal of 35225 is 52253.

35225 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 34969 = 16^2 + 187^2 .

It is not a de Polignac number, because 35225 - 2² = 35221 is a prime.

It is a d-powerful number, because it can be written as 3⁷ + 5 + 2¹⁰ + 2¹⁴ + 5⁶ .

35225 is strictly pandigital in base 6.

It is a Curzon number.

It is a plaindrome in base 16.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (35221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 680 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (7285).

2³⁵²²⁵ is an apocalyptic number.

It is an amenable number.

35225 is a deficient number, since it is larger than the sum of its proper divisors (8485).

35225 is a wasteful number, since it uses less digits than its factorization.

35225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1414 counting only the distinct ones).

The product of its digits is 300, while the sum is 17.

The square root of 35225 is about 187.6832437912. The cubic root of 35225 is about 32.7806077121.

Adding to 35225 its reverse (52253), we get a palindrome (87478).

It can be divided in two parts, 35 and 225, that multiplied together give a triangular number (7875 = T₁₂₅).

The spelling of 35225 in words is "thirty-five thousand, two hundred twenty-five".