7973961 has 8 divisors (see below), whose sum is σ = 10731744. Its totient is φ = 5266080.

The previous prime is 7973941. The next prime is 7973971. The reversal of 7973961 is 1693797.

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

It is not a de Polignac number, because 7973961 - 2⁵ = 7973929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7973921) 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, 12100 + ... + 12741.

It is an arithmetic number, because the mean of its divisors is an integer number (1341468).

Almost surely, 2^7973961 is an apocalyptic number.

It is an amenable number.

7973961 is a deficient number, since it is larger than the sum of its proper divisors (2757783).

7973961 is a wasteful number, since it uses less digits than its factorization.

7973961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24951.

The product of its digits is 71442, while the sum is 42.

The square root of 7973961 is about 2823.8202846499. The cubic root of 7973961 is about 199.7827724798.

It can be divided in two parts, 79739 and 61, that added together give a triangular number (79800 = T₃₉₉).

The spelling of 7973961 in words is "seven million, nine hundred seventy-three thousand, nine hundred sixty-one".