972668 has 6 divisors (see below), whose sum is σ = 1702176. Its totient is φ = 486332.

The previous prime is 972661. The next prime is 972679. The reversal of 972668 is 866279.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972661) by changing a digit.

972668 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 as a sum of consecutive naturals, namely, 121580 + ... + 121587.

It is an arithmetic number, because the mean of its divisors is an integer number (283696).

2⁹⁷²⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

972668 is a deficient number, since it is larger than the sum of its proper divisors (729508).

972668 is a wasteful number, since it uses less digits than its factorization.

972668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243171 (or 243169 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 972668 is about 986.2393218687. The cubic root of 972668 is about 99.0805045277.

It can be divided in two parts, 97266 and 8, that multiplied together give a triangular number (778128 = T₁₂₄₇).

The spelling of 972668 in words is "nine hundred seventy-two thousand, six hundred sixty-eight".