427807993 has 2 divisors, whose sum is σ = 427807994. Its totient is φ = 427807992.

The previous prime is 427807957. The next prime is 427808021. The reversal of 427807993 is 399708724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231891984 + 195916009 = 15228^2 + 13997^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-427807993 is a prime.

It is not a weakly prime, because it can be changed into another prime (427807493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213903996 + 213903997.

It is an arithmetic number, because the mean of its divisors is an integer number (213903997).

Almost surely, 2^427807993 is an apocalyptic number.

It is an amenable number.

427807993 is a deficient number, since it is larger than the sum of its proper divisors (1).

427807993 is an equidigital number, since it uses as much as digits as its factorization.

427807993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 427807993 is about 20683.5198406848. The cubic root of 427807993 is about 753.4994936991.

The spelling of 427807993 in words is "four hundred twenty-seven million, eight hundred seven thousand, nine hundred ninety-three".