164525 has 6 divisors (see below), whose sum is σ = 204042. Its totient is φ = 131600.

The previous prime is 164513. The next prime is 164531. The reversal of 164525 is 525461.

164525 = T₁₀₂ + T₁₀₃ + ... + T₁₂₆.

It can be written as a sum of positive squares in 3 ways, for example, as 2116 + 162409 = 46^2 + 403^2 .

It is a de Polignac number, because none of the positive numbers 2^k-164525 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 164525.

It is a congruent number.

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, 3266 + ... + 3315.

It is an arithmetic number, because the mean of its divisors is an integer number (34007).

2¹⁶⁴⁵²⁵ is an apocalyptic number.

It is an amenable number.

164525 is a deficient number, since it is larger than the sum of its proper divisors (39517).

164525 is an equidigital number, since it uses as much as digits as its factorization.

164525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6591 (or 6586 counting only the distinct ones).

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

The square root of 164525 is about 405.6168142471. The cubic root of 164525 is about 54.7953829559.

Adding to 164525 its reverse (525461), we get a palindrome (689986).

The spelling of 164525 in words is "one hundred sixty-four thousand, five hundred twenty-five".