31941910729 has 9 divisors (see below), whose sum is σ = 32100505479. Its totient is φ = 31784098320.

The previous prime is 31941910723. The next prime is 31941910739. The reversal of 31941910729 is 92701914913.

The square root of 31941910729 is 178723.

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., 203775625 + 31738135104 = 14275^2 + 178152^2 .

It is not a de Polignac number, because 31941910729 - 2¹³ = 31941902537 is a prime.

It is a super-2 number, since 2×31941910729² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31941910723) 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, 55940014 + ... + 55940584.

It is an arithmetic number, because the mean of its divisors is an integer number (3566722831).

Almost surely, 2^31941910729 is an apocalyptic number.

31941910729 is the 178723-rd square number.

31941910729 is the 89362-nd centered octagonal number.

It is an amenable number.

31941910729 is a deficient number, since it is larger than the sum of its proper divisors (158594750).

31941910729 is an frugal number, since it uses more digits than its factorization.

31941910729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 46.

The spelling of 31941910729 in words is "thirty-one billion, nine hundred forty-one million, nine hundred ten thousand, seven hundred twenty-nine".