1192113729 has 27 divisors (see below), whose sum is σ = 1831896937. Its totient is φ = 746888064.

The previous prime is 1192113691. The next prime is 1192113731. The reversal of 1192113729 is 9273112911.

The square root of 1192113729 is 34527.

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 848382129 + 343731600 = 29127^2 + 18540^2 .

It is not a de Polignac number, because 1192113729 - 2²³ = 1183725121 is a prime.

It is a super-2 number, since 2×1192113729² = 2842270285740570882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1192113693 and 1192113702.

It is not an unprimeable number, because it can be changed into a prime (1192113739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1760539 + ... + 1761215.

Almost surely, 2^1192113729 is an apocalyptic number.

1192113729 is the 34527-th square number.

1192113729 is the 17264-th centered octagonal number.

It is an amenable number.

1192113729 is a deficient number, since it is larger than the sum of its proper divisors (639783208).

1192113729 is an frugal number, since it uses more digits than its factorization.

1192113729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 697 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The cubic root of 1192113729 is about 1060.3255583016.

Multiplying 1192113729 by its sum of digits (36), we get a square (42916094244 = 207162²).

It can be divided in two parts, 1192 and 113729, that added together give a square (114921 = 339²).

The spelling of 1192113729 in words is "one billion, one hundred ninety-two million, one hundred thirteen thousand, seven hundred twenty-nine".