972906 has 16 divisors (see below), whose sum is σ = 2122848. Its totient is φ = 294800.

The previous prime is 972901. The next prime is 972941. The reversal of 972906 is 609279.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972906.

It is not an unprimeable number, because it can be changed into a prime (972901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7305 + ... + 7436.

It is an arithmetic number, because the mean of its divisors is an integer number (132678).

2⁹⁷²⁹⁰⁶ is an apocalyptic number.

972906 is an abundant number, since it is smaller than the sum of its proper divisors (1149942).

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

972906 is a wasteful number, since it uses less digits than its factorization.

972906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14757.

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 972906 is about 986.3599748570. The cubic root of 972906 is about 99.0885851324.

It can be divided in two parts, 97290 and 6, that multiplied together give a triangular number (583740 = T₁₀₈₀).

The spelling of 972906 in words is "nine hundred seventy-two thousand, nine hundred six".