212765963 has 2 divisors, whose sum is σ = 212765964. Its totient is φ = 212765962.

The previous prime is 212765951. The next prime is 212765983. The reversal of 212765963 is 369567212.

212765963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 212765963 - 2⁶ = 212765899 is a prime.

It is a super-3 number, since 3×212765963³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212765963.

It is not a weakly prime, because it can be changed into another prime (212765983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106382981 + 106382982.

It is an arithmetic number, because the mean of its divisors is an integer number (106382982).

Almost surely, 2^212765963 is an apocalyptic number.

212765963 is a deficient number, since it is larger than the sum of its proper divisors (1).

212765963 is an equidigital number, since it uses as much as digits as its factorization.

212765963 is an evil number, because the sum of its binary digits is even.

The product of its digits is 136080, while the sum is 41.

The square root of 212765963 is about 14586.4993401433. The cubic root of 212765963 is about 596.9904508927.

The spelling of 212765963 in words is "two hundred twelve million, seven hundred sixty-five thousand, nine hundred sixty-three".