83797512484 has 243 divisors, whose sum is σ = 190838252241. Its totient is φ = 32097320640.

The previous prime is 83797512481. The next prime is 83797512503. The reversal of 83797512484 is 48421579738.

The square root of 83797512484 is 289478.

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., 43941382884 + 39856129600 = 209622^2 + 199640^2 .

It is a super-2 number, since 2×83797512484² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (83797512481) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2703145549 + ... + 2703145579.

Almost surely, 2^83797512484 is an apocalyptic number.

83797512484 is the 289478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83797512484

83797512484 is an abundant number, since it is smaller than the sum of its proper divisors (107040739757).

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

83797512484 is a wasteful number, since it uses less digits than its factorization.

83797512484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 92 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 58.

The spelling of 83797512484 in words is "eighty-three billion, seven hundred ninety-seven million, five hundred twelve thousand, four hundred eighty-four".