205502033 has 32 divisors (see below), whose sum is σ = 248866560. Its totient is φ = 167650560.

The previous prime is 205502027. The next prime is 205502051. The reversal of 205502033 is 330205502.

It is not a de Polignac number, because 205502033 - 2¹² = 205497937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205501996 and 205502014.

It is not an unprimeable number, because it can be changed into a prime (205502023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271091 + ... + 271847.

It is an arithmetic number, because the mean of its divisors is an integer number (7777080).

Almost surely, 2^205502033 is an apocalyptic number.

205502033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205502033 is a deficient number, since it is larger than the sum of its proper divisors (43364527).

205502033 is a wasteful number, since it uses less digits than its factorization.

205502033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857.

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 205502033 is about 14335.3420956739. The cubic root of 205502033 is about 590.1177903288.

Adding to 205502033 its reverse (330205502), we get a palindrome (535707535).

The spelling of 205502033 in words is "two hundred five million, five hundred two thousand, thirty-three".