7645 has 8 divisors (see below), whose sum is σ = 10080. Its totient is φ = 5520.

The previous prime is 7643. The next prime is 7649. The reversal of 7645 is 5467.

7645 = T₃₄ + T₃₅ + ... + T₄₃.

7645 = 23² + 24² + ... + 32².

7645 is nontrivially palindromic in base 4.

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

It is not a de Polignac number, because 7645 - 2¹ = 7643 is a prime.

7645 is an undulating number in base 4.

7645 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7643) 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, 15 + ... + 124.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

It is an amenable number.

7645 is a deficient number, since it is larger than the sum of its proper divisors (2435).

7645 is a wasteful number, since it uses less digits than its factorization.

7645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155.

The product of its digits is 840, while the sum is 22.

The square root of 7645 is about 87.4356906532. The cubic root of 7645 is about 19.6996796224.

Adding to 7645 its sum of digits (22), we get a palindrome (7667).

It can be divided in two parts, 76 and 45, that added together give a palindrome (121).

The spelling of 7645 in words is "seven thousand, six hundred forty-five".