972927 has 12 divisors (see below), whose sum is σ = 1488240. Its totient is φ = 610368.

The previous prime is 972901. The next prime is 972941. The reversal of 972927 is 729279.

It is not a de Polignac number, because 972927 - 2⁷ = 972799 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 972891 and 972900.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972927.

It is not an unprimeable number, because it can be changed into a prime (972967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3027 + ... + 3332.

It is an arithmetic number, because the mean of its divisors is an integer number (124020).

2⁹⁷²⁹²⁷ is an apocalyptic number.

972927 is a deficient number, since it is larger than the sum of its proper divisors (515313).

972927 is a wasteful number, since it uses less digits than its factorization.

972927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382 (or 6379 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 972927 is about 986.3706200004. The cubic root of 972927 is about 99.0892980637.

The spelling of 972927 in words is "nine hundred seventy-two thousand, nine hundred twenty-seven".