83837465209 has 9 divisors (see below), whose sum is σ = 87648017583. Its totient is φ = 80185987992.

The previous prime is 83837465207. The next prime is 83837465221. The reversal of 83837465209 is 90256473838.

The square root of 83837465209 is 289547.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6897800809 + 76939664400 = 83053^2 + 277380^2 .

It is not a de Polignac number, because 83837465209 - 2¹ = 83837465207 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83837465209.

It is not an unprimeable number, because it can be changed into a prime (83837465207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6653287 + ... + 6665875.

Almost surely, 2^83837465209 is an apocalyptic number.

83837465209 is the 289547-th square number.

83837465209 is the 144774-th centered octagonal number.

It is an amenable number.

83837465209 is a deficient number, since it is larger than the sum of its proper divisors (3810552374).

83837465209 is an frugal number, since it uses more digits than its factorization.

83837465209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25224 (or 12612 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 83837465209 in words is "eighty-three billion, eight hundred thirty-seven million, four hundred sixty-five thousand, two hundred nine".