812877121 has 9 divisors (see below), whose sum is σ = 945823971. Its totient is φ = 696580752.

The previous prime is 812877097. The next prime is 812877137. The reversal of 812877121 is 121778218.

The square root of 812877121 is 28511.

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., 87329025 + 725548096 = 9345^2 + 26936^2 .

It is not a de Polignac number, because 812877121 - 2¹³ = 812868929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (812877721) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 197541 + ... + 201613.

Almost surely, 2^812877121 is an apocalyptic number.

812877121 is the 28511-st square number.

812877121 is the 14256-th centered octagonal number.

It is an amenable number.

812877121 is a deficient number, since it is larger than the sum of its proper divisors (132946850).

812877121 is an frugal number, since it uses more digits than its factorization.

812877121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 4080 counting only the distinct ones).

The product of its digits is 12544, while the sum is 37.

The cubic root of 812877121 is about 933.2721369598.

Multiplying 812877121 by its product of digits (12544), we get a square (10196730605824 = 3193232²).

The spelling of 812877121 in words is "eight hundred twelve million, eight hundred seventy-seven thousand, one hundred twenty-one".