972918 has 32 divisors (see below), whose sum is σ = 2217600. Its totient is φ = 316008.

The previous prime is 972901. The next prime is 972941. The reversal of 972918 is 819279.

It is a happy number.

It is a nialpdrome in base 16.

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 972918.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2113 + ... + 2531.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

2⁹⁷²⁹¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108800).

972918 is an abundant number, since it is smaller than the sum of its proper divisors (1244682).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

972918 is a wasteful number, since it uses less digits than its factorization.

972918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 972918 is about 986.3660578102. The cubic root of 972918 is about 99.0889925230.

It can be divided in two parts, 9 and 72918, that added together give a palindrome (72927).

The spelling of 972918 in words is "nine hundred seventy-two thousand, nine hundred eighteen".