7217965 has 8 divisors (see below), whose sum is σ = 8747928. Its totient is φ = 5716800.

The previous prime is 7217963. The next prime is 7218019. The reversal of 7217965 is 5697127.

It can be written as a sum of positive squares in 4 ways, for example, as 447561 + 6770404 = 669^2 + 2602^2 .

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

It is not a de Polignac number, because 7217965 - 2¹ = 7217963 is a prime.

It is a Duffinian number.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6642 + ... + 7651.

It is an arithmetic number, because the mean of its divisors is an integer number (1093491).

Almost surely, 2^7217965 is an apocalyptic number.

It is an amenable number.

7217965 is a deficient number, since it is larger than the sum of its proper divisors (1529963).

7217965 is a wasteful number, since it uses less digits than its factorization.

7217965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14399.

The product of its digits is 26460, while the sum is 37.

The square root of 7217965 is about 2686.6270675328. The cubic root of 7217965 is about 193.2583455386.

It can be divided in two parts, 721796 and 5, that added together give a triangular number (721801 = T₁₂₀₁).

The spelling of 7217965 in words is "seven million, two hundred seventeen thousand, nine hundred sixty-five".