84210461 has 8 divisors (see below), whose sum is σ = 87483000. Its totient is φ = 80962560.

The previous prime is 84210421. The next prime is 84210463. The reversal of 84210461 is 16401248.

It can be written as a sum of positive squares in 4 ways, for example, as 29539225 + 54671236 = 5435^2 + 7394^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 84210461 - 2¹⁸ = 83948317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 84210461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84210463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 965 + ... + 13013.

It is an arithmetic number, because the mean of its divisors is an integer number (10935375).

Almost surely, 2^84210461 is an apocalyptic number.

It is an amenable number.

84210461 is a deficient number, since it is larger than the sum of its proper divisors (3272539).

84210461 is a wasteful number, since it uses less digits than its factorization.

84210461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12319.

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 84210461 is about 9176.6257960102. The cubic root of 84210461 is about 438.3173700455.

The spelling of 84210461 in words is "eighty-four million, two hundred ten thousand, four hundred sixty-one".