84961509 has 24 divisors (see below), whose sum is σ = 118052928. Its totient is φ = 54345600.

The previous prime is 84961501. The next prime is 84961537. The reversal of 84961509 is 90516948.

It is not a de Polignac number, because 84961509 - 2³ = 84961501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84961501) 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 23 ways as a sum of consecutive naturals, for example, 562584 + ... + 562734.

It is an arithmetic number, because the mean of its divisors is an integer number (4918872).

Almost surely, 2^84961509 is an apocalyptic number.

It is an amenable number.

84961509 is a deficient number, since it is larger than the sum of its proper divisors (33091419).

84961509 is a wasteful number, since it uses less digits than its factorization.

84961509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 84961509 is about 9217.4567533566. The cubic root of 84961509 is about 439.6165892068.

The spelling of 84961509 in words is "eighty-four million, nine hundred sixty-one thousand, five hundred nine".