83623337329 has 27 divisors (see below), whose sum is σ = 98436481227. Its totient is φ = 70832171088.

The previous prime is 83623337299. The next prime is 83623337351. The reversal of 83623337329 is 92373332638.

The square root of 83623337329 is 289177.

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., 58285064929 + 25338272400 = 241423^2 + 159180^2 .

It is not a de Polignac number, because 83623337329 - 2⁷ = 83623337201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (83623337029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 220641862 + ... + 220642240.

It is an arithmetic number, because the mean of its divisors is an integer number (3645795601).

Almost surely, 2^83623337329 is an apocalyptic number.

83623337329 is the 289177-th square number.

83623337329 is the 144589-th centered octagonal number.

It is an amenable number.

83623337329 is a deficient number, since it is larger than the sum of its proper divisors (14813143898).

83623337329 is an frugal number, since it uses more digits than its factorization.

83623337329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 495 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 49.

Multiplying 83623337329 by its sum of digits (49), we get a square (4097543529121 = 2024239²).

83623337329 divided by its sum of digits (49) gives a square (1706598721 = 41311²).

The spelling of 83623337329 in words is "eighty-three billion, six hundred twenty-three million, three hundred thirty-seven thousand, three hundred twenty-nine".