84272409 has 24 divisors (see below), whose sum is σ = 132579720. Its totient is φ = 51270912.

The previous prime is 84272407. The next prime is 84272411. The reversal of 84272409 is 90427248.

It is an interprime number because it is at equal distance from previous prime (84272407) and next prime (84272411).

It can be written as a sum of positive squares in 4 ways, for example, as 9 + 84272400 = 3^2 + 9180^2 .

It is not a de Polignac number, because 84272409 - 2¹ = 84272407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84272401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6367 + ... + 14459.

It is an arithmetic number, because the mean of its divisors is an integer number (5524155).

Almost surely, 2^84272409 is an apocalyptic number.

84272409 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

84272409 is a deficient number, since it is larger than the sum of its proper divisors (48307311).

84272409 is a wasteful number, since it uses less digits than its factorization.

84272409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8201 (or 8198 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 84272409 is about 9180.0004901961. Note that the first 3 decimals coincide. The cubic root of 84272409 is about 438.4248239519.

It can be divided in two parts, 84272 and 409, that added together give a square (84681 = 291²).

The spelling of 84272409 in words is "eighty-four million, two hundred seventy-two thousand, four hundred nine".