427712521 has 2 divisors, whose sum is σ = 427712522. Its totient is φ = 427712520.

The previous prime is 427712501. The next prime is 427712539. The reversal of 427712521 is 125217724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336318921 + 91393600 = 18339^2 + 9560^2 .

It is a cyclic number.

It is not a de Polignac number, because 427712521 - 2⁹ = 427712009 is a prime.

It is not a weakly prime, because it can be changed into another prime (427712501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 213856260 + 213856261.

It is an arithmetic number, because the mean of its divisors is an integer number (213856261).

Almost surely, 2^427712521 is an apocalyptic number.

It is an amenable number.

427712521 is a deficient number, since it is larger than the sum of its proper divisors (1).

427712521 is an equidigital number, since it uses as much as digits as its factorization.

427712521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7840, while the sum is 31.

The square root of 427712521 is about 20681.2117875138. The cubic root of 427712521 is about 753.4434378229.

The spelling of 427712521 in words is "four hundred twenty-seven million, seven hundred twelve thousand, five hundred twenty-one".