83248983841 has 3 divisors (see below), whose sum is σ = 83249272371. Its totient is φ = 83248695312.

The previous prime is 83248983781. The next prime is 83248983877. The reversal of 83248983841 is 14838984238.

It is a happy number.

The square root of 83248983841 is 288529.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 80611134241 + 2637849600 = 283921^2 + 51360^2 .

It is not a de Polignac number, because 83248983841 - 2⁹ = 83248983329 is a prime.

It is a super-2 number, since 2×83248983841² (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 (83248983541) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 144265 + ... + 432793.

It is an arithmetic number, because the mean of its divisors is an integer number (27749757457).

Almost surely, 2^83248983841 is an apocalyptic number.

83248983841 is the 288529-th square number.

83248983841 is the 144265-th centered octagonal number.

It is an amenable number.

83248983841 is a deficient number, since it is larger than the sum of its proper divisors (288530).

83248983841 is an frugal number, since it uses more digits than its factorization.

83248983841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577058 (or 288529 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 58.

It can be divided in two parts, 83248 and 983841, that added together give a square (1067089 = 1033²).

The spelling of 83248983841 in words is "eighty-three billion, two hundred forty-eight million, nine hundred eighty-three thousand, eight hundred forty-one".