84961224 has 40 divisors (see below), whose sum is σ = 237971910. Its totient is φ = 28320192.

The previous prime is 84961211. The next prime is 84961231. The reversal of 84961224 is 42216948.

It can be written as a sum of positive squares in only one way, i.e., 80676324 + 4284900 = 8982^2 + 2070^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 64909 + ... + 66204.

Almost surely, 2^84961224 is an apocalyptic number.

It is an amenable number.

84961224 is an abundant number, since it is smaller than the sum of its proper divisors (153010686).

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

84961224 is a wasteful number, since it uses less digits than its factorization.

84961224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131131 (or 131118 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 84961224 is about 9217.4412935478. The cubic root of 84961224 is about 439.6160976474.

The spelling of 84961224 in words is "eighty-four million, nine hundred sixty-one thousand, two hundred twenty-four".