467900101 has 2 divisors, whose sum is σ = 467900102. Its totient is φ = 467900100.

The previous prime is 467900053. The next prime is 467900107. The reversal of 467900101 is 101009764.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 467683876 + 216225 = 21626^2 + 465^2 .

It is a cyclic number.

It is not a de Polignac number, because 467900101 - 2⁹ = 467899589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 467900101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (467900107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 233950050 + 233950051.

It is an arithmetic number, because the mean of its divisors is an integer number (233950051).

Almost surely, 2^467900101 is an apocalyptic number.

It is an amenable number.

467900101 is a deficient number, since it is larger than the sum of its proper divisors (1).

467900101 is an equidigital number, since it uses as much as digits as its factorization.

467900101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 467900101 is about 21630.9986131015. The cubic root of 467900101 is about 776.3383608961.

Adding to 467900101 its reverse (101009764), we get a palindrome (568909865).

The spelling of 467900101 in words is "four hundred sixty-seven million, nine hundred thousand, one hundred one".