715221 has 12 divisors (see below), whose sum is σ = 1112748. Its totient is φ = 440064.

The previous prime is 715193. The next prime is 715223. The reversal of 715221 is 122517.

It can be written as a sum of positive squares in 2 ways, for example, as 239121 + 476100 = 489^2 + 690^2 .

It is not a de Polignac number, because 715221 - 2⁵ = 715189 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

715221 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 715194 and 715203.

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 715221.

It is not an unprimeable number, because it can be changed into a prime (715223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2940 + ... + 3173.

It is an arithmetic number, because the mean of its divisors is an integer number (92729).

2⁷¹⁵²²¹ is an apocalyptic number.

It is an amenable number.

715221 is a deficient number, since it is larger than the sum of its proper divisors (397527).

715221 is a wasteful number, since it uses less digits than its factorization.

715221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6132 (or 6129 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 715221 is about 845.7073962075. The cubic root of 715221 is about 89.4293524025.

Adding to 715221 its reverse (122517), we get a palindrome (837738).

Subtracting from 715221 its reverse (122517), we obtain a cube (592704 = 84³).

The spelling of 715221 in words is "seven hundred fifteen thousand, two hundred twenty-one".