83802723169 has 9 divisors (see below), whose sum is σ = 92117237331. Its totient is φ = 76181398920.

The previous prime is 83802723163. The next prime is 83802723223. The reversal of 83802723169 is 96132720838.

The square root of 83802723169 is 289487.

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., 53947030225 + 29855692944 = 232265^2 + 172788^2 .

It is not a de Polignac number, because 83802723169 - 2⁷ = 83802723041 is a prime.

It is a super-2 number, since 2×83802723169² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83802723163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3171199 + ... + 3197515.

Almost surely, 2^83802723169 is an apocalyptic number.

83802723169 is the 289487-th square number.

83802723169 is the 144744-th centered octagonal number.

It is an amenable number.

83802723169 is a deficient number, since it is larger than the sum of its proper divisors (8314514162).

83802723169 is an frugal number, since it uses more digits than its factorization.

83802723169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52656 (or 26328 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 83802723169 by its sum of digits (49), we get a square (4106333435281 = 2026409²).

The spelling of 83802723169 in words is "eighty-three billion, eight hundred two million, seven hundred twenty-three thousand, one hundred sixty-nine".