972930 has 64 divisors (see below), whose sum is σ = 2757888. Its totient is φ = 215040.

The previous prime is 972901. The next prime is 972941. The reversal of 972930 is 39279.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

972930 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8554 + ... + 8666.

It is an arithmetic number, because the mean of its divisors is an integer number (43092).

2⁹⁷²⁹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944).

972930 is an abundant number, since it is smaller than the sum of its proper divisors (1784958).

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

972930 is a wasteful number, since it uses less digits than its factorization.

972930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171.

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 972930 is about 986.3721407258. The cubic root of 972930 is about 99.0893999102.

Subtracting from 972930 its product of nonzero digits (3402), we obtain a triangular number (969528 = T₁₃₉₂).

The spelling of 972930 in words is "nine hundred seventy-two thousand, nine hundred thirty".