164205125 has 96 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 99187200.

The previous prime is 164205079. The next prime is 164205131. The reversal of 164205125 is 521502461.

It is not a de Polignac number, because 164205125 - 2¹² = 164201029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164205094 and 164205103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1978334 + ... + 1978416.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^164205125 is an apocalyptic number.

It is an amenable number.

164205125 is a deficient number, since it is larger than the sum of its proper divisors (104688955).

164205125 is a wasteful number, since it uses less digits than its factorization.

164205125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 164205125 is about 12814.2547578858. The cubic root of 164205125 is about 547.5984824545.

Adding to 164205125 its reverse (521502461), we get a palindrome (685707586).

The spelling of 164205125 in words is "one hundred sixty-four million, two hundred five thousand, one hundred twenty-five".