212585033 has 2 divisors, whose sum is σ = 212585034. Its totient is φ = 212585032.

The previous prime is 212585029. The next prime is 212585057. The reversal of 212585033 is 330585212.

212585033 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 can be written as a sum of positive squares in only one way, i.e., 147088384 + 65496649 = 12128^2 + 8093^2 .

It is a cyclic number.

It is not a de Polignac number, because 212585033 - 2² = 212585029 is a prime.

It is a super-2 number, since 2×212585033² = 90384792511222178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212584987 and 212585005.

It is not a weakly prime, because it can be changed into another prime (212585333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106292516 + 106292517.

It is an arithmetic number, because the mean of its divisors is an integer number (106292517).

Almost surely, 2^212585033 is an apocalyptic number.

It is an amenable number.

212585033 is a deficient number, since it is larger than the sum of its proper divisors (1).

212585033 is an equidigital number, since it uses as much as digits as its factorization.

212585033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 212585033 is about 14580.2960532357. The cubic root of 212585033 is about 596.8211817853.

The spelling of 212585033 in words is "two hundred twelve million, five hundred eighty-five thousand, thirty-three".