461820101 has 6 divisors (see below), whose sum is σ = 462951090. Its totient is φ = 460691568.

The previous prime is 461820083. The next prime is 461820103. The reversal of 461820101 is 101028164.

It is a Cunningham number, because it is equal to 21490²+1.

It can be written as a sum of positive squares in 3 ways, for example, as 1 + 461820100 = 1^2 + 21490^2 .

It is not a de Polignac number, because 461820101 - 2²⁶ = 394711237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461820103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 375155 + ... + 376383.

It is an arithmetic number, because the mean of its divisors is an integer number (77158515).

Almost surely, 2^461820101 is an apocalyptic number.

It is an amenable number.

461820101 is a deficient number, since it is larger than the sum of its proper divisors (1130989).

461820101 is an frugal number, since it uses more digits than its factorization.

461820101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 461820101 is about 21490.0000232666. Note that the first 4 decimals coincide. The cubic root of 461820101 is about 772.9610509739.

Adding to 461820101 its reverse (101028164), we get a palindrome (562848265).

The spelling of 461820101 in words is "four hundred sixty-one million, eight hundred twenty thousand, one hundred one".