202133997 has 48 divisors (see below), whose sum is σ = 329395248. Its totient is φ = 118609920.

The previous prime is 202133993. The next prime is 202133999. The reversal of 202133997 is 799331202.

It can be written as a sum of positive squares in 8 ways, for example, as 181476 + 201952521 = 426^2 + 14211^2 .

It is not a de Polignac number, because 202133997 - 2² = 202133993 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202133993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228997 + ... + 229877.

It is an arithmetic number, because the mean of its divisors is an integer number (6862401).

Almost surely, 2^202133997 is an apocalyptic number.

It is an amenable number.

202133997 is a deficient number, since it is larger than the sum of its proper divisors (127261251).

202133997 is a wasteful number, since it uses less digits than its factorization.

202133997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 202133997 is about 14217.3836200617. The cubic root of 202133997 is about 586.8761418726.

The spelling of 202133997 in words is "two hundred two million, one hundred thirty-three thousand, nine hundred ninety-seven".