970861414329 has 27 divisors (see below), whose sum is σ = 1429544831533. Its totient is φ = 634926376032.

The previous prime is 970861414321. The next prime is 970861414373. The reversal of 970861414329 is 923414168079.

The square root of 970861414329 is 985323.

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

970861414329 is a `hidden beast` number, since 9 + 7 + 0 + 8 + 614 + 14 + 3 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14142679929 + 956718734400 = 118923^2 + 978120^2 .

It is not a de Polignac number, because 970861414329 - 2³ = 970861414321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (970861414321) 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, 156663259 + ... + 156669455.

Almost surely, 2^970861414329 is an apocalyptic number.

970861414329 is the 985323-rd square number.

970861414329 is the 492662-nd centered octagonal number.

It is an amenable number.

970861414329 is a deficient number, since it is larger than the sum of its proper divisors (458683417204).

970861414329 is an frugal number, since it uses more digits than its factorization.

970861414329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12506 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 970861414329 in words is "nine hundred seventy billion, eight hundred sixty-one million, four hundred fourteen thousand, three hundred twenty-nine".