412132993 has 2 divisors, whose sum is σ = 412132994. Its totient is φ = 412132992.

The previous prime is 412132991. The next prime is 412133069. The reversal of 412132993 is 399231214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328080769 + 84052224 = 18113^2 + 9168^2 .

It is a cyclic number.

It is not a de Polignac number, because 412132993 - 2¹ = 412132991 is a prime.

Together with 412132991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (412132991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206066496 + 206066497.

It is an arithmetic number, because the mean of its divisors is an integer number (206066497).

Almost surely, 2^412132993 is an apocalyptic number.

It is an amenable number.

412132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

412132993 is an equidigital number, since it uses as much as digits as its factorization.

412132993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 34.

The square root of 412132993 is about 20301.0589132685. The cubic root of 412132993 is about 744.1819424620.

The spelling of 412132993 in words is "four hundred twelve million, one hundred thirty-two thousand, nine hundred ninety-three".