200165964 has 48 divisors (see below), whose sum is σ = 488581632. Its totient is φ = 63661312.

The previous prime is 200165963. The next prime is 200165971. The reversal of 200165964 is 469561002.

200165964 = 4712² + 4713² + ... + 4720².

It is not an unprimeable number, because it can be changed into a prime (200165963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163057 + ... + 164279.

It is an arithmetic number, because the mean of its divisors is an integer number (10178784).

Almost surely, 2^200165964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200165964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244290816).

200165964 is an abundant number, since it is smaller than the sum of its proper divisors (288415668).

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

200165964 is a wasteful number, since it uses less digits than its factorization.

200165964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 200165964 is about 14148.0021204409. The cubic root of 200165964 is about 584.9652634791.

The spelling of 200165964 in words is "two hundred million, one hundred sixty-five thousand, nine hundred sixty-four".