972630 has 48 divisors (see below), whose sum is σ = 2577744. Its totient is φ = 254400.

The previous prime is 972623. The next prime is 972637. The reversal of 972630 is 36279.

It is an interprime number because it is at equal distance from previous prime (972623) and next prime (972637).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 972594 and 972603.

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 972630.

It is not an unprimeable number, because it can be changed into a prime (972637) by changing a digit.

972630 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9037 + ... + 9143.

It is an arithmetic number, because the mean of its divisors is an integer number (53703).

2⁹⁷²⁶³⁰ is an apocalyptic number.

972630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 972630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288872).

972630 is an abundant number, since it is smaller than the sum of its proper divisors (1605114).

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

972630 is a wasteful number, since it uses less digits than its factorization.

972630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 972630 is about 986.2200565797. The cubic root of 972630 is about 99.0792142251.

The spelling of 972630 in words is "nine hundred seventy-two thousand, six hundred thirty".