820451417 has 2 divisors, whose sum is σ = 820451418. Its totient is φ = 820451416.

The previous prime is 820451371. The next prime is 820451449. The reversal of 820451417 is 714154028.

It is a happy number.

It is an a-pointer prime, because the next prime (820451449) can be obtained adding 820451417 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 578835481 + 241615936 = 24059^2 + 15544^2 .

It is a cyclic number.

It is not a de Polignac number, because 820451417 - 2¹⁸ = 820189273 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (820451477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410225708 + 410225709.

It is an arithmetic number, because the mean of its divisors is an integer number (410225709).

Almost surely, 2^820451417 is an apocalyptic number.

It is an amenable number.

820451417 is a deficient number, since it is larger than the sum of its proper divisors (1).

820451417 is an equidigital number, since it uses as much as digits as its factorization.

820451417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 820451417 is about 28643.5231247834. The cubic root of 820451417 is about 936.1618876641.

The spelling of 820451417 in words is "eight hundred twenty million, four hundred fifty-one thousand, four hundred seventeen".