7632289 has 12 divisors (see below), whose sum is σ = 8966100. Its totient is φ = 6477408.

The previous prime is 7632271. The next prime is 7632311. The reversal of 7632289 is 9822367.

7632289 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2614689 + 5017600 = 1617^2 + 2240^2 .

It is not a de Polignac number, because 7632289 - 2⁷ = 7632161 is a prime.

It is a super-3 number, since 3×7632289³ (a number of 22 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 7⁸ + 6⁸ + 3¹¹ + 2² + 2¹² + 8² + 9⁴ .

It is a Duffinian number.

7632289 is a modest number, since divided by 2289 gives 763 as remainder.

7632289 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (7632239) 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, 4627 + ... + 6055.

It is an arithmetic number, because the mean of its divisors is an integer number (747175).

Almost surely, 2^7632289 is an apocalyptic number.

It is an amenable number.

7632289 is a deficient number, since it is larger than the sum of its proper divisors (1333811).

7632289 is a wasteful number, since it uses less digits than its factorization.

7632289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1545 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 7632289 is about 2762.6597691355. The cubic root of 7632289 is about 196.8875564008.

It can be divided in two parts, 7632 and 289, that added together give a square (7921 = 89²).

The spelling of 7632289 in words is "seven million, six hundred thirty-two thousand, two hundred eighty-nine".