6821461 has 2 divisors, whose sum is σ = 6821462. Its totient is φ = 6821460.

The previous prime is 6821443. The next prime is 6821473. The reversal of 6821461 is 1641286.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6345361 + 476100 = 2519^2 + 690^2 .

It is a cyclic number.

It is not a de Polignac number, because 6821461 - 2¹³ = 6813269 is a prime.

6821461 is a lucky number.

It is equal to p₄₆₅₂₅₆ and since 6821461 and 465256 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6821401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3410730 + 3410731.

It is an arithmetic number, because the mean of its divisors is an integer number (3410731).

Almost surely, 2^6821461 is an apocalyptic number.

It is an amenable number.

6821461 is a deficient number, since it is larger than the sum of its proper divisors (1).

6821461 is an equidigital number, since it uses as much as digits as its factorization.

6821461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2304, while the sum is 28.

The square root of 6821461 is about 2611.7926793679. The cubic root of 6821461 is about 189.6527452255.

The spelling of 6821461 in words is "six million, eight hundred twenty-one thousand, four hundred sixty-one".