203262049 has 9 divisors (see below), whose sum is σ = 207942553. Its totient is φ = 198685552.

The previous prime is 203262029. The next prime is 203262061. The reversal of 203262049 is 940262302.

The square root of 203262049 is 14257.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17430625 + 185831424 = 4175^2 + 13632^2 .

It is not a de Polignac number, because 203262049 - 2⁷ = 203261921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (203262029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 755487 + ... + 755755.

Almost surely, 2^203262049 is an apocalyptic number.

203262049 is the 14257-th square number.

203262049 is the 7129-th centered octagonal number.

It is an amenable number.

203262049 is a deficient number, since it is larger than the sum of its proper divisors (4680504).

203262049 is an frugal number, since it uses more digits than its factorization.

203262049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The cubic root of 203262049 is about 587.9658465439.

Multiplying 203262049 by its product of nonzero digits (5184), we get a square (1053710462016 = 1026504²).

The spelling of 203262049 in words is "two hundred three million, two hundred sixty-two thousand, forty-nine".