84980961 has 32 divisors (see below), whose sum is σ = 137262720. Its totient is φ = 51648192.

The previous prime is 84980957. The next prime is 84980981. The reversal of 84980961 is 16908948.

It is not a de Polignac number, because 84980961 - 2² = 84980957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84980911) 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 31 ways as a sum of consecutive naturals, for example, 27675 + ... + 30591.

It is an arithmetic number, because the mean of its divisors is an integer number (4289460).

Almost surely, 2^84980961 is an apocalyptic number.

It is an amenable number.

84980961 is a deficient number, since it is larger than the sum of its proper divisors (52281759).

84980961 is a wasteful number, since it uses less digits than its factorization.

84980961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 84980961 is about 9218.5118647209. The cubic root of 84980961 is about 439.6501368272.

It can be divided in two parts, 849 and 80961, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 84980961 in words is "eighty-four million, nine hundred eighty thousand, nine hundred sixty-one".