212132993 has 2 divisors, whose sum is σ = 212132994. Its totient is φ = 212132992.

The previous prime is 212132959. The next prime is 212133001. The reversal of 212132993 is 399231212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165456769 + 46676224 = 12863^2 + 6832^2 .

It is a cyclic number.

It is not a de Polignac number, because 212132993 - 2⁸ = 212132737 is a prime.

It is not a weakly prime, because it can be changed into another prime (212132903) 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 as a sum of consecutive naturals, namely, 106066496 + 106066497.

It is an arithmetic number, because the mean of its divisors is an integer number (106066497).

Almost surely, 2^212132993 is an apocalyptic number.

It is an amenable number.

212132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

212132993 is an equidigital number, since it uses as much as digits as its factorization.

212132993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 32.

The square root of 212132993 is about 14564.7860609073. The cubic root of 212132993 is about 596.3978554985.

The spelling of 212132993 in words is "two hundred twelve million, one hundred thirty-two thousand, nine hundred ninety-three".