7892 has 6 divisors (see below), whose sum is σ = 13818. Its totient is φ = 3944.

The previous prime is 7883. The next prime is 7901. The reversal of 7892 is 2987.

It is an interprime number because it is at equal distance from previous prime (7883) and next prime (7901).

It can be written as a sum of positive squares in only one way, i.e., 5776 + 2116 = 76^2 + 46^2 .

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

It is a congruent number.

It is an unprimeable number.

7892 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 983 + ... + 990.

It is an arithmetic number, because the mean of its divisors is an integer number (2303).

2⁷⁸⁹² is an apocalyptic number.

It is an amenable number.

7892 is a deficient number, since it is larger than the sum of its proper divisors (5926).

7892 is a wasteful number, since it uses less digits than its factorization.

7892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1975 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 7892 is about 88.8369292581. The cubic root of 7892 is about 19.9095919349.

The spelling of 7892 in words is "seven thousand, eight hundred ninety-two".