2827321497 has 128 divisors (see below), whose sum is σ = 5666304000. Its totient is φ = 1353568320.

The previous prime is 2827321487. The next prime is 2827321531. The reversal of 2827321497 is 7941237282.

2827321497 is a `hidden beast` number, since 282 + 7 + 321 + 49 + 7 = 666.

It is not a de Polignac number, because 2827321497 - 2⁴ = 2827321481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2827321457) 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 127 ways as a sum of consecutive naturals, for example, 4567254 + ... + 4567872.

It is an arithmetic number, because the mean of its divisors is an integer number (44268000).

Almost surely, 2^2827321497 is an apocalyptic number.

2827321497 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2827321497 is an abundant number, since it is smaller than the sum of its proper divisors (2838982503).

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

2827321497 is a wasteful number, since it uses less digits than its factorization.

2827321497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 653 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 2827321497 is about 53172.5633856409. The cubic root of 2827321497 is about 1414.0292670664.

It can be divided in two parts, 28273 and 21497, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 2827321497 in words is "two billion, eight hundred twenty-seven million, three hundred twenty-one thousand, four hundred ninety-seven".