1038321729 has 27 divisors (see below), whose sum is σ = 1571206273. Its totient is φ = 660700392.

The previous prime is 1038321721. The next prime is 1038321737. The reversal of 1038321729 is 9271238301.

The square root of 1038321729 is 32223.

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

It is an interprime number because it is at equal distance from previous prime (1038321721) and next prime (1038321737).

It is not a de Polignac number, because 1038321729 - 2³ = 1038321721 is a prime.

It is a super-2 number, since 2×1038321729² = 2156224025827098882, 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 = 1038321693 and 1038321702.

It is not an unprimeable number, because it can be changed into a prime (1038321721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2223154 + ... + 2223620.

Almost surely, 2^1038321729 is an apocalyptic number.

1038321729 is the 32223-rd square number.

1038321729 is the 16112-nd centered octagonal number.

It is an amenable number.

1038321729 is a deficient number, since it is larger than the sum of its proper divisors (532884544).

1038321729 is an frugal number, since it uses more digits than its factorization.

1038321729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 1038321729 is about 1012.6141244930.

Multiplying 1038321729 by its sum of digits (36), we get a square (37379582244 = 193338²).

The spelling of 1038321729 in words is "one billion, thirty-eight million, three hundred twenty-one thousand, seven hundred twenty-nine".