397181029729 has 81 divisors (see below), whose sum is σ = 475258266259. Its totient is φ = 331648551520.

The previous prime is 397181029717. The next prime is 397181029747. The reversal of 397181029729 is 927920181793.

The square root of 397181029729 is 630223.

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., 286326659025 + 110854370704 = 535095^2 + 332948^2 .

It is not a de Polignac number, because 397181029729 - 2⁷ = 397181029601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (397181029759) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7493981667 + ... + 7493981719.

Almost surely, 2^397181029729 is an apocalyptic number.

397181029729 is the 630223-rd square number.

397181029729 is the 315112-nd centered octagonal number.

It is an amenable number.

397181029729 is a deficient number, since it is larger than the sum of its proper divisors (78077236530).

397181029729 is an equidigital number, since it uses as much as digits as its factorization.

397181029729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 58.

The spelling of 397181029729 in words is "three hundred ninety-seven billion, one hundred eighty-one million, twenty-nine thousand, seven hundred twenty-nine".