84961000 has 32 divisors (see below), whose sum is σ = 198811080. Its totient is φ = 33984000.

The previous prime is 84960959. The next prime is 84961001. The reversal of 84961000 is 16948.

It can be written as a sum of positive squares in 4 ways, for example, as 33895684 + 51065316 = 5822^2 + 7146^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84961000.

It is not an unprimeable number, because it can be changed into a prime (84961001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41481 + ... + 43480.

Almost surely, 2^84961000 is an apocalyptic number.

It is an amenable number.

84961000 is an abundant number, since it is smaller than the sum of its proper divisors (113850080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84961000 is a wasteful number, since it uses less digits than its factorization.

84961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84982 (or 84968 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 84961000 is about 9217.4291426623. The cubic root of 84961000 is about 439.6157112983.

Adding to 84961000 its reverse (16948), we get a palindrome (84977948).

The spelling of 84961000 in words is "eighty-four million, nine hundred sixty-one thousand".