972201829 has 8 divisors (see below), whose sum is σ = 1006848000. Its totient is φ = 937630512.

The previous prime is 972201827. The next prime is 972201851. The reversal of 972201829 is 928102279.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 972201829 - 2¹ = 972201827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972201791 and 972201800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972201827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8412 + ... + 44890.

It is an arithmetic number, because the mean of its divisors is an integer number (125856000).

Almost surely, 2^972201829 is an apocalyptic number.

It is an amenable number.

972201829 is a deficient number, since it is larger than the sum of its proper divisors (34646171).

972201829 is a wasteful number, since it uses less digits than its factorization.

972201829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37427.

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 972201829 is about 31180.1512023274. The cubic root of 972201829 is about 990.6467321328.

The spelling of 972201829 in words is "nine hundred seventy-two million, two hundred one thousand, eight hundred twenty-nine".