972577821 has 8 divisors (see below), whose sum is σ = 1297497664. Its totient is φ = 648021600.

The previous prime is 972577799. The next prime is 972577841. The reversal of 972577821 is 128775279.

It is a happy number.

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

It is not a de Polignac number, because 972577821 - 2⁵ = 972577789 is a prime.

It is a super-2 number, since 2×972577821² = 1891815235802216082, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972577841) 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 7 ways as a sum of consecutive naturals, for example, 84601 + ... + 95406.

It is an arithmetic number, because the mean of its divisors is an integer number (162187208).

Almost surely, 2^972577821 is an apocalyptic number.

It is an amenable number.

972577821 is a deficient number, since it is larger than the sum of its proper divisors (324919843).

972577821 is a wasteful number, since it uses less digits than its factorization.

972577821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181811.

The product of its digits is 493920, while the sum is 48.

The square root of 972577821 is about 31186.1799680564. The cubic root of 972577821 is about 990.7744241503.

The spelling of 972577821 in words is "nine hundred seventy-two million, five hundred seventy-seven thousand, eight hundred twenty-one".