7646 has 4 divisors (see below), whose sum is σ = 11472. Its totient is φ = 3822.

The previous prime is 7643. The next prime is 7649. The reversal of 7646 is 6467.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 6467 = 29 ⋅223.

It is an interprime number because it is at equal distance from previous prime (7643) and next prime (7649).

It is a super-2 number, since 2×7646² = 116922632, which contains 22 as substring.

It is a plaindrome in base 16.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

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 7646.

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 as a sum of consecutive naturals, namely, 1910 + ... + 1913.

It is an arithmetic number, because the mean of its divisors is an integer number (2868).

2⁷⁶⁴⁶ is an apocalyptic number.

7646 is a deficient number, since it is larger than the sum of its proper divisors (3826).

7646 is a wasteful number, since it uses less digits than its factorization.

7646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825.

The product of its digits is 1008, while the sum is 23.

The square root of 7646 is about 87.4414089548. The cubic root of 7646 is about 19.7005385202.

The spelling of 7646 in words is "seven thousand, six hundred forty-six".