205856401 has 2 divisors, whose sum is σ = 205856402. Its totient is φ = 205856400.

The previous prime is 205856353. The next prime is 205856411. The reversal of 205856401 is 104658502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203034001 + 2822400 = 14249^2 + 1680^2 .

It is a cyclic number.

It is not a de Polignac number, because 205856401 - 2¹⁵ = 205823633 is a prime.

It is not a weakly prime, because it can be changed into another prime (205856411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102928200 + 102928201.

It is an arithmetic number, because the mean of its divisors is an integer number (102928201).

Almost surely, 2^205856401 is an apocalyptic number.

It is an amenable number.

205856401 is a deficient number, since it is larger than the sum of its proper divisors (1).

205856401 is an equidigital number, since it uses as much as digits as its factorization.

205856401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 205856401 is about 14347.6967141071. The cubic root of 205856401 is about 590.4567955307.

The spelling of 205856401 in words is "two hundred five million, eight hundred fifty-six thousand, four hundred one".