7652 has 6 divisors (see below), whose sum is σ = 13398. Its totient is φ = 3824.

The previous prime is 7649. The next prime is 7669. The reversal of 7652 is 2567.

It can be written as a sum of positive squares in only one way, i.e., 7396 + 256 = 86^2 + 16^2 .

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7652.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 953 + ... + 960.

It is an arithmetic number, because the mean of its divisors is an integer number (2233).

2⁷⁶⁵² is an apocalyptic number.

It is an amenable number.

7652 is a deficient number, since it is larger than the sum of its proper divisors (5746).

7652 is a wasteful number, since it uses less digits than its factorization.

7652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1915 counting only the distinct ones).

The product of its digits is 420, while the sum is 20.

The square root of 7652 is about 87.4757109145. The cubic root of 7652 is about 19.7056903349.

It can be divided in two parts, 765 and 2, that added together give a palindrome (767).

The spelling of 7652 in words is "seven thousand, six hundred fifty-two".