1283164884 has 72 divisors (see below), whose sum is σ = 3341880360. Its totient is φ = 414830592.

The previous prime is 1283164877. The next prime is 1283164889. The reversal of 1283164884 is 4884613821.

1283164884 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 749554884 + 533610000 = 27378^2 + 23100^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283164889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468832 + ... + 471560.

It is an arithmetic number, because the mean of its divisors is an integer number (46415005).

Almost surely, 2^1283164884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1283164884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670940180).

1283164884 is an abundant number, since it is smaller than the sum of its proper divisors (2058715476).

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

1283164884 is a wasteful number, since it uses less digits than its factorization.

1283164884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3124 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 1283164884 is about 35821.2909315117. The cubic root of 1283164884 is about 1086.6611868610.

The spelling of 1283164884 in words is "one billion, two hundred eighty-three million, one hundred sixty-four thousand, eight hundred eighty-four".