205401963 has 16 divisors (see below), whose sum is σ = 296593920. Its totient is φ = 125690784.

The previous prime is 205401961. The next prime is 205401971. The reversal of 205401963 is 369104502.

It is not a de Polignac number, because 205401963 - 2¹ = 205401961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205401963.

It is not an unprimeable number, because it can be changed into a prime (205401961) 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 15 ways as a sum of consecutive naturals, for example, 7731 + ... + 21692.

It is an arithmetic number, because the mean of its divisors is an integer number (18537120).

Almost surely, 2^205401963 is an apocalyptic number.

205401963 is a deficient number, since it is larger than the sum of its proper divisors (91191957).

205401963 is a wasteful number, since it uses less digits than its factorization.

205401963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29618.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 205401963 is about 14331.8513458660. The cubic root of 205401963 is about 590.0219880726.

The spelling of 205401963 in words is "two hundred five million, four hundred one thousand, nine hundred sixty-three".