129982801 has 9 divisors (see below), whose sum is σ = 140911281. Its totient is φ = 119847312.

The previous prime is 129982793. The next prime is 129982817. The reversal of 129982801 is 108289921.

The square root of 129982801 is 11401.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22801 + 129960000 = 151^2 + 11400^2 .

It is not a de Polignac number, because 129982801 - 2³ = 129982793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129982861) 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, 147775 + ... + 148651.

It is an arithmetic number, because the mean of its divisors is an integer number (15656809).

Almost surely, 2^129982801 is an apocalyptic number.

129982801 is the 11401-st square number.

129982801 is the 5701-st centered octagonal number.

It is an amenable number.

129982801 is a deficient number, since it is larger than the sum of its proper divisors (10928480).

129982801 is an frugal number, since it uses more digits than its factorization.

129982801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The cubic root of 129982801 is about 506.5573607600.

Multiplying 129982801 by its product of nonzero digits (20736), we get a square (2695323361536 = 1641744²).

It can be divided in two parts, 1299 and 82801, that added together give a square (84100 = 290²).

The spelling of 129982801 in words is "one hundred twenty-nine million, nine hundred eighty-two thousand, eight hundred one".