972642 has 16 divisors (see below), whose sum is σ = 2122272. Its totient is φ = 294720.

The previous prime is 972637. The next prime is 972649. The reversal of 972642 is 246279.

It is a happy number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (972649) by changing a digit.

972642 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 7 ways as a sum of consecutive naturals, for example, 7303 + ... + 7434.

It is an arithmetic number, because the mean of its divisors is an integer number (132642).

2⁹⁷²⁶⁴² is an apocalyptic number.

972642 is an abundant number, since it is smaller than the sum of its proper divisors (1149630).

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

972642 is a wasteful number, since it uses less digits than its factorization.

972642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14753.

The product of its digits is 6048, while the sum is 30.

The square root of 972642 is about 986.2261403958. The cubic root of 972642 is about 99.0796216927.

The spelling of 972642 in words is "nine hundred seventy-two thousand, six hundred forty-two".