962172 has 48 divisors (see below), whose sum is σ = 2553600. Its totient is φ = 313200.

The previous prime is 962161. The next prime is 962177. The reversal of 962172 is 271269.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (962177) by changing a digit.

962172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6297 + ... + 6447.

It is an arithmetic number, because the mean of its divisors is an integer number (53200).

2⁹⁶²¹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 962172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276800).

962172 is an abundant number, since it is smaller than the sum of its proper divisors (1591428).

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

962172 is a wasteful number, since it uses less digits than its factorization.

962172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 962172 is about 980.9036649947. The cubic root of 962172 is about 98.7228243332.

The spelling of 962172 in words is "nine hundred sixty-two thousand, one hundred seventy-two".