165225207 has 48 divisors (see below), whose sum is σ = 264215520. Its totient is φ = 91542528.

The previous prime is 165225167. The next prime is 165225211. The reversal of 165225207 is 702522561.

It is not a de Polignac number, because 165225207 - 2⁷ = 165225079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165225217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954973 + ... + 955145.

It is an arithmetic number, because the mean of its divisors is an integer number (5504490).

Almost surely, 2^165225207 is an apocalyptic number.

165225207 is a deficient number, since it is larger than the sum of its proper divisors (98990313).

165225207 is a wasteful number, since it uses less digits than its factorization.

165225207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 165225207 is about 12853.9957600740. The cubic root of 165225207 is about 548.7300805516.

Adding to 165225207 its reverse (702522561), we get a palindrome (867747768).

The spelling of 165225207 in words is "one hundred sixty-five million, two hundred twenty-five thousand, two hundred seven".