972838 has 8 divisors (see below), whose sum is σ = 1536120. Its totient is φ = 460800.

The previous prime is 972833. The next prime is 972847. The reversal of 972838 is 838279.

972838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 972797 and 972806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972833) by changing a digit.

972838 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 3 ways as a sum of consecutive naturals, for example, 12763 + ... + 12838.

It is an arithmetic number, because the mean of its divisors is an integer number (192015).

2⁹⁷²⁸³⁸ is an apocalyptic number.

972838 is a deficient number, since it is larger than the sum of its proper divisors (563282).

972838 is a wasteful number, since it uses less digits than its factorization.

972838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25622.

The product of its digits is 24192, while the sum is 37.

The square root of 972838 is about 986.3255040807. The cubic root of 972838 is about 99.0862765227.

It can be divided in two parts, 9728 and 38, that multiplied together give a square (369664 = 608²).

The spelling of 972838 in words is "nine hundred seventy-two thousand, eight hundred thirty-eight".