203201000 has 64 divisors (see below), whose sum is σ = 503502480. Its totient is φ = 76492800.

The previous prime is 203200997. The next prime is 203201023. The reversal of 203201000 is 102302.

It can be written as a sum of positive squares in 8 ways, for example, as 58094884 + 145106116 = 7622^2 + 12046^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11024 + ... + 22976.

Almost surely, 2^203201000 is an apocalyptic number.

203201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251751240).

203201000 is an abundant number, since it is smaller than the sum of its proper divisors (300301480).

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

203201000 is a wasteful number, since it uses less digits than its factorization.

203201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11991 (or 11977 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 203201000 is about 14254.8588207670. The cubic root of 203201000 is about 587.9069761983.

Adding to 203201000 its reverse (102302), we get a palindrome (203303302).

The spelling of 203201000 in words is "two hundred three million, two hundred one thousand".