84893121 has 72 divisors (see below), whose sum is σ = 144429480. Its totient is φ = 47803392.

The previous prime is 84893113. The next prime is 84893131. The reversal of 84893121 is 12139848.

It can be written as a sum of positive squares in 4 ways, for example, as 32490000 + 52403121 = 5700^2 + 7239^2 .

It is not a de Polignac number, because 84893121 - 2³ = 84893113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84893101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1601731 + ... + 1601783.

It is an arithmetic number, because the mean of its divisors is an integer number (2005965).

Almost surely, 2^84893121 is an apocalyptic number.

It is an amenable number.

84893121 is a deficient number, since it is larger than the sum of its proper divisors (59536359).

84893121 is a wasteful number, since it uses less digits than its factorization.

84893121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 84893121 is about 9213.7463064706. The cubic root of 84893121 is about 439.4986041338.

The spelling of 84893121 in words is "eighty-four million, eight hundred ninety-three thousand, one hundred twenty-one".