393790135729 has 9 divisors (see below), whose sum is σ = 396092038251. Its totient is φ = 391501544760.

The previous prime is 393790135709. The next prime is 393790135759. The reversal of 393790135729 is 927531097393.

The square root of 393790135729 is 627527.

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., 4339252129 + 389450883600 = 65873^2 + 624060^2 .

It is not a de Polignac number, because 393790135729 - 2³¹ = 391642652081 is a prime.

It is a super-2 number, since 2×393790135729² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (393790135709) 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, 113580654 + ... + 113584120.

Almost surely, 2^393790135729 is an apocalyptic number.

393790135729 is the 627527-th square number.

393790135729 is the 313764-th centered octagonal number.

It is an amenable number.

393790135729 is a deficient number, since it is larger than the sum of its proper divisors (2301902522).

393790135729 is an frugal number, since it uses more digits than its factorization.

393790135729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7296 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 9644670, while the sum is 58.

The spelling of 393790135729 in words is "three hundred ninety-three billion, seven hundred ninety million, one hundred thirty-five thousand, seven hundred twenty-nine".