292249441201 has 9 divisors (see below), whose sum is σ = 293278565601. Its totient is φ = 291223921104.

The previous prime is 292249441111. The next prime is 292249441247. The reversal of 292249441201 is 102144942292.

The square root of 292249441201 is 540601.

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 1814674801 + 290434766400 = 42599^2 + 538920^2 .

It is not a de Polignac number, because 292249441201 - 2¹⁵ = 292249408433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (292249441301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 188668975 + ... + 188670523.

It is an arithmetic number, because the mean of its divisors is an integer number (32586507289).

Almost surely, 2^292249441201 is an apocalyptic number.

292249441201 is the 540601-st square number.

292249441201 is the 270301-st centered octagonal number.

It is an amenable number.

292249441201 is a deficient number, since it is larger than the sum of its proper divisors (1029124400).

292249441201 is an frugal number, since it uses more digits than its factorization.

292249441201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 292249441201 in words is "two hundred ninety-two billion, two hundred forty-nine million, four hundred forty-one thousand, two hundred one".