457111667 has 2 divisors, whose sum is σ = 457111668. Its totient is φ = 457111666.

The previous prime is 457111661. The next prime is 457111673. The reversal of 457111667 is 766111754.

It is a balanced prime because it is at equal distance from previous prime (457111661) and next prime (457111673).

It is a cyclic number.

It is not a de Polignac number, because 457111667 - 2⁴ = 457111651 is a prime.

It is a super-3 number, since 3×457111667³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 457111667.

It is not a weakly prime, because it can be changed into another prime (457111661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228555833 + 228555834.

It is an arithmetic number, because the mean of its divisors is an integer number (228555834).

Almost surely, 2^457111667 is an apocalyptic number.

457111667 is a deficient number, since it is larger than the sum of its proper divisors (1).

457111667 is an equidigital number, since it uses as much as digits as its factorization.

457111667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35280, while the sum is 38.

The square root of 457111667 is about 21380.1699478746. The cubic root of 457111667 is about 770.3251940633.

The spelling of 457111667 in words is "four hundred fifty-seven million, one hundred eleven thousand, six hundred sixty-seven".