165212200 has 24 divisors (see below), whose sum is σ = 384118830. Its totient is φ = 66084800.

The previous prime is 165212161. The next prime is 165212207. The reversal of 165212200 is 2212561.

It can be written as a sum of positive squares in 3 ways, for example, as 91355364 + 73856836 = 9558^2 + 8594^2 .

It is not an unprimeable number, because it can be changed into a prime (165212207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 412831 + ... + 413230.

Almost surely, 2^165212200 is an apocalyptic number.

165212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165212200 is an abundant number, since it is smaller than the sum of its proper divisors (218906630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165212200 is a wasteful number, since it uses less digits than its factorization.

165212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826077 (or 826068 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 165212200 is about 12853.4897984944. The cubic root of 165212200 is about 548.7156809742.

Adding to 165212200 its reverse (2212561), we get a palindrome (167424761).

It can be divided in two parts, 16521 and 2200, that added together give a triangular number (18721 = T₁₉₃).

The spelling of 165212200 in words is "one hundred sixty-five million, two hundred twelve thousand, two hundred".