203946961 has 3 divisors (see below), whose sum is σ = 203961243. Its totient is φ = 203932680.

The previous prime is 203946949. The next prime is 203946991. The reversal of 203946961 is 169649302.

The square root of 203946961 is 14281.

It is a perfect power (a square), and thus also a powerful number.

203946961 is nontrivially palindromic in base 9.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 169649302 = 2 ⋅84824651.

It can be written as a sum of positive squares in only one way, i.e., 28561 + 203918400 = 169^2 + 14280^2 .

It is not a de Polignac number, because 203946961 - 2¹⁷ = 203815889 is a prime.

It is a super-2 number, since 2×203946961² = 83188725802271042, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (203946991) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 7141 + ... + 21421.

It is an arithmetic number, because the mean of its divisors is an integer number (67987081).

Almost surely, 2^203946961 is an apocalyptic number.

203946961 is the 14281-st square number.

203946961 is the 7141-st centered octagonal number.

It is an amenable number.

203946961 is a deficient number, since it is larger than the sum of its proper divisors (14282).

203946961 is an frugal number, since it uses more digits than its factorization.

203946961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28562 (or 14281 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The cubic root of 203946961 is about 588.6255095954.

The spelling of 203946961 in words is "two hundred three million, nine hundred forty-six thousand, nine hundred sixty-one".