972138 has 32 divisors (see below), whose sum is σ = 2079360. Its totient is φ = 302400.

The previous prime is 972137. The next prime is 972161. The reversal of 972138 is 831279.

It is a happy number.

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 972138.

It is not an unprimeable number, because it can be changed into a prime (972131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6363 + ... + 6513.

It is an arithmetic number, because the mean of its divisors is an integer number (64980).

2⁹⁷²¹³⁸ is an apocalyptic number.

972138 is an abundant number, since it is smaller than the sum of its proper divisors (1107222).

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

972138 is a wasteful number, since it uses less digits than its factorization.

972138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222.

The product of its digits is 3024, while the sum is 30.

The square root of 972138 is about 985.9705877966. The cubic root of 972138 is about 99.0625051664.

The spelling of 972138 in words is "nine hundred seventy-two thousand, one hundred thirty-eight".