202133993 has 2 divisors, whose sum is σ = 202133994. Its totient is φ = 202133992.

The previous prime is 202133983. The next prime is 202133999. The reversal of 202133993 is 399331202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188018944 + 14115049 = 13712^2 + 3757^2 .

It is a cyclic number.

It is not a de Polignac number, because 202133993 - 2¹⁴ = 202117609 is a prime.

It is a super-2 number, since 2×202133993² = 81716302252248098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202133999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101066996 + 101066997.

It is an arithmetic number, because the mean of its divisors is an integer number (101066997).

Almost surely, 2^202133993 is an apocalyptic number.

It is an amenable number.

202133993 is a deficient number, since it is larger than the sum of its proper divisors (1).

202133993 is an equidigital number, since it uses as much as digits as its factorization.

202133993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 202133993 is about 14217.3834793889. The cubic root of 202133993 is about 586.8761380014.

The spelling of 202133993 in words is "two hundred two million, one hundred thirty-three thousand, nine hundred ninety-three".