7972835 has 16 divisors (see below), whose sum is σ = 10753344. Its totient is φ = 5630592.

The previous prime is 7972831. The next prime is 7972849. The reversal of 7972835 is 5382797.

It is a cyclic number.

It is not a de Polignac number, because 7972835 - 2² = 7972831 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7972792 and 7972801.

It is not an unprimeable number, because it can be changed into a prime (7972831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1172 + ... + 4161.

It is an arithmetic number, because the mean of its divisors is an integer number (672084).

Almost surely, 2^7972835 is an apocalyptic number.

7972835 is a deficient number, since it is larger than the sum of its proper divisors (2780509).

7972835 is a wasteful number, since it uses less digits than its factorization.

7972835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374.

The product of its digits is 105840, while the sum is 41.

The square root of 7972835 is about 2823.6209023167. The cubic root of 7972835 is about 199.7733682873.

The spelling of 7972835 in words is "seven million, nine hundred seventy-two thousand, eight hundred thirty-five".