972777827 has 32 divisors (see below), whose sum is σ = 1218240000. Its totient is φ = 757886976.

The previous prime is 972777823. The next prime is 972777829. The reversal of 972777827 is 728777279.

It is not a de Polignac number, because 972777827 - 2² = 972777823 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972777823) 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 31 ways as a sum of consecutive naturals, for example, 689699 + ... + 691107.

It is an arithmetic number, because the mean of its divisors is an integer number (38070000).

Almost surely, 2^972777827 is an apocalyptic number.

972777827 is a deficient number, since it is larger than the sum of its proper divisors (245462173).

972777827 is a wasteful number, since it uses less digits than its factorization.

972777827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643.

The product of its digits is 4840416, while the sum is 56.

The square root of 972777827 is about 31189.3864479569. The cubic root of 972777827 is about 990.8423355103.

The spelling of 972777827 in words is "nine hundred seventy-two million, seven hundred seventy-seven thousand, eight hundred twenty-seven".