35525 has 18 divisors (see below), whose sum is σ = 53010. Its totient is φ = 23520.

The previous prime is 35521. The next prime is 35527. The reversal of 35525 is 52553.

35525 = 25² + 26² + ... + 49².

It can be written as a sum of positive squares in 3 ways, for example, as 2401 + 33124 = 49^2 + 182^2 .

It is not a de Polignac number, because 35525 - 2² = 35521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35497 and 35506.

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 35525.

It is not an unprimeable number, because it can be changed into a prime (35521) 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 17 ways as a sum of consecutive naturals, for example, 1211 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (2945).

2³⁵⁵²⁵ is an apocalyptic number.

35525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

35525 is a deficient number, since it is larger than the sum of its proper divisors (17485).

35525 is a wasteful number, since it uses less digits than its factorization.

35525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

The product of its digits is 750, while the sum is 20.

The square root of 35525 is about 188.4807682497. The cubic root of 35525 is about 32.8734053981.

The spelling of 35525 in words is "thirty-five thousand, five hundred twenty-five".