7954 has 8 divisors (see below), whose sum is σ = 12348. Its totient is φ = 3840.

The previous prime is 7951. The next prime is 7963. The reversal of 7954 is 4597.

It can be written as a sum of positive squares in 2 ways, for example, as 7225 + 729 = 85^2 + 27^2 .

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

It is a super-2 number, since 2×7954² = 126532232, which contains 22 as substring.

Its product of digits (1260) is a multiple of the sum of its prime divisors (140).

It is not an unprimeable number, because it can be changed into a prime (7951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34 + ... + 130.

2⁷⁹⁵⁴ is an apocalyptic number.

7954 is a deficient number, since it is larger than the sum of its proper divisors (4394).

7954 is a wasteful number, since it uses less digits than its factorization.

7954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140.

The product of its digits is 1260, while the sum is 25.

The square root of 7954 is about 89.1852005660. The cubic root of 7954 is about 19.9615929588.

It can be divided in two parts, 7 and 954, that added together give a square (961 = 31²).

The spelling of 7954 in words is "seven thousand, nine hundred fifty-four".