1427101729 has 9 divisors (see below), whose sum is σ = 1468152441. Its totient is φ = 1387171440.

The previous prime is 1427101721. The next prime is 1427101757. The reversal of 1427101729 is 9271017241.

The square root of 1427101729 is 37777.

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 374229025 + 1052872704 = 19345^2 + 32448^2 .

It is not a de Polignac number, because 1427101729 - 2³ = 1427101721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1427101694 and 1427101703.

It is not an unprimeable number, because it can be changed into a prime (1427101721) 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, 1397239 + ... + 1398259.

It is an arithmetic number, because the mean of its divisors is an integer number (163128049).

Almost surely, 2^1427101729 is an apocalyptic number.

1427101729 is the 37777-th square number.

1427101729 is the 18889-th centered octagonal number.

It is an amenable number.

1427101729 is a deficient number, since it is larger than the sum of its proper divisors (41050712).

1427101729 is an frugal number, since it uses more digits than its factorization.

1427101729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The cubic root of 1427101729 is about 1125.8615238471.

Multiplying 1427101729 by its product of nonzero digits (7056), we get a square (10069629799824 = 3173268²).

The spelling of 1427101729 in words is "one billion, four hundred twenty-seven million, one hundred one thousand, seven hundred twenty-nine".