1321177104 has 135 divisors (see below), whose sum is σ = 4021016727. Its totient is φ = 404771328.

The previous prime is 1321176959. The next prime is 1321177139. The reversal of 1321177104 is 4017711231.

The square root of 1321177104 is 36348.

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

It can be written as a sum of positive squares in 4 ways, for example, as 559417104 + 761760000 = 23652^2 + 27600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5670172 + ... + 5670404.

Almost surely, 2^1321177104 is an apocalyptic number.

1321177104 is the 36348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321177104

1321177104 is an abundant number, since it is smaller than the sum of its proper divisors (2699839623).

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

1321177104 is a wasteful number, since it uses less digits than its factorization.

1321177104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The cubic root of 1321177104 is about 1097.2872836982.

Adding to 1321177104 its reverse (4017711231), we get a palindrome (5338888335).

The spelling of 1321177104 in words is "one billion, three hundred twenty-one million, one hundred seventy-seven thousand, one hundred four".