832972004929 has 7 divisors (see below), whose sum is σ = 841648796647. Its totient is φ = 824384664672.

The previous prime is 832972004867. The next prime is 832972004971. The reversal of 832972004929 is 929400279238.

The square root of 832972004929 is 912673.

The cubic root of 832972004929 is 9409.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 542071425025 + 290900579904 = 736255^2 + 539352^2 .

It is not a de Polignac number, because 832972004929 - 2¹³ = 832971996737 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 832972004929.

It is not an unprimeable number, because it can be changed into a prime (832972004989) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 8587340209 + ... + 8587340305.

Almost surely, 2^832972004929 is an apocalyptic number.

832972004929 is the 912673-rd square number.

832972004929 is the 456337-th centered octagonal number.

It is an amenable number.

832972004929 is a deficient number, since it is larger than the sum of its proper divisors (8676791718).

832972004929 is an frugal number, since it uses more digits than its factorization.

832972004929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

It can be divided in two parts, 83297200 and 4929, that added together give a square (83302129 = 9127²).

The spelling of 832972004929 in words is "eight hundred thirty-two billion, nine hundred seventy-two million, four thousand, nine hundred twenty-nine".