165083200 has 42 divisors (see below), whose sum is σ = 406211786. Its totient is φ = 66032640.

The previous prime is 165083197. The next prime is 165083201. The reversal of 165083200 is 2380561.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6927424 + 158155776 = 2632^2 + 12576^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (165083201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49989 + ... + 53188.

Almost surely, 2^165083200 is an apocalyptic number.

165083200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165083200 is an abundant number, since it is smaller than the sum of its proper divisors (241128586).

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

165083200 is a wasteful number, since it uses less digits than its factorization.

165083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103199 (or 103184 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 165083200 is about 12848.4707261215. The cubic root of 165083200 is about 548.5728288241.

The spelling of 165083200 in words is "one hundred sixty-five million, eighty-three thousand, two hundred".