972727 has 8 divisors (see below), whose sum is σ = 1126400. Its totient is φ = 822744.

The previous prime is 972721. The next prime is 972787. The reversal of 972727 is 727279.

It is a happy number.

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 972727 - 2⁷ = 972599 is a prime.

It is a Duffinian number.

972727 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 972692 and 972701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327 + ... + 1432.

It is an arithmetic number, because the mean of its divisors is an integer number (140800).

2⁹⁷²⁷²⁷ is an apocalyptic number.

972727 is a deficient number, since it is larger than the sum of its proper divisors (153673).

972727 is a wasteful number, since it uses less digits than its factorization.

972727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845.

The product of its digits is 12348, while the sum is 34.

The square root of 972727 is about 986.2692330191. The cubic root of 972727 is about 99.0825078257.

It can be divided in two parts, 97272 and 7, that added together give a palindrome (97279).

The spelling of 972727 in words is "nine hundred seventy-two thousand, seven hundred twenty-seven".