165205948 has 12 divisors (see below), whose sum is σ = 291191320. Its totient is φ = 82008432.

The previous prime is 165205927. The next prime is 165205951. The reversal of 165205948 is 849502561.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 165205948.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 148011 + ... + 149122.

Almost surely, 2^165205948 is an apocalyptic number.

It is an amenable number.

165205948 is a deficient number, since it is larger than the sum of its proper divisors (125985372).

165205948 is a wasteful number, since it uses less digits than its factorization.

165205948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297276 (or 297274 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 165205948 is about 12853.2465937599. The cubic root of 165205948 is about 548.7087593431.

The spelling of 165205948 in words is "one hundred sixty-five million, two hundred five thousand, nine hundred forty-eight".