7217964 has 96 divisors (see below), whose sum is σ = 20744640. Its totient is φ = 2156544.

The previous prime is 7217963. The next prime is 7218019. The reversal of 7217964 is 4697127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (21168) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7217963) 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 31 ways as a sum of consecutive naturals, for example, 74364 + ... + 74460.

It is an arithmetic number, because the mean of its divisors is an integer number (216090).

Almost surely, 2^7217964 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 7217964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10372320).

7217964 is an abundant number, since it is smaller than the sum of its proper divisors (13526676).

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

7217964 is a wasteful number, since it uses less digits than its factorization.

7217964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 7217964 is about 2686.6268814259. The cubic root of 7217964 is about 193.2583366137.

The spelling of 7217964 in words is "seven million, two hundred seventeen thousand, nine hundred sixty-four".