84854961 has 12 divisors (see below), whose sum is σ = 124881588. Its totient is φ = 55502304.

The previous prime is 84854951. The next prime is 84854963. The reversal of 84854961 is 16945848.

84854961 is a `hidden beast` number, since 8 + 48 + 549 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38192400 + 46662561 = 6180^2 + 6831^2 .

It is not a de Polignac number, because 84854961 - 2⁵ = 84854929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84854963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88470 + ... + 89423.

It is an arithmetic number, because the mean of its divisors is an integer number (10406799).

Almost surely, 2^84854961 is an apocalyptic number.

It is an amenable number.

84854961 is a deficient number, since it is larger than the sum of its proper divisors (40026627).

84854961 is a wasteful number, since it uses less digits than its factorization.

84854961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177952 (or 177949 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 84854961 is about 9211.6752548057. The cubic root of 84854961 is about 439.4327417880.

The spelling of 84854961 in words is "eighty-four million, eight hundred fifty-four thousand, nine hundred sixty-one".