84967509 has 16 divisors (see below), whose sum is σ = 123799104. Its totient is φ = 51408000.

The previous prime is 84967501. The next prime is 84967567. The reversal of 84967509 is 90576948.

It is not a de Polignac number, because 84967509 - 2³ = 84967501 is a prime.

It is a super-4 number, since 4×84967509⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84967501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21297 + ... + 24969.

It is an arithmetic number, because the mean of its divisors is an integer number (7737444).

Almost surely, 2^84967509 is an apocalyptic number.

It is an amenable number.

84967509 is a deficient number, since it is larger than the sum of its proper divisors (38831595).

84967509 is a wasteful number, since it uses less digits than its factorization.

84967509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388.

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 84967509 is about 9217.7822169978. The cubic root of 84967509 is about 439.6269375691.

The spelling of 84967509 in words is "eighty-four million, nine hundred sixty-seven thousand, five hundred nine".