7851961 has 16 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 6955200.

The previous prime is 7851941. The next prime is 7851967. The reversal of 7851961 is 1691587.

It is a cyclic number.

It is not a de Polignac number, because 7851961 - 2⁹ = 7851449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7851961.

It is not an unprimeable number, because it can be changed into a prime (7851967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43291 + ... + 43471.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 2^7851961 is an apocalyptic number.

7851961 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

7851961 is a deficient number, since it is larger than the sum of its proper divisors (953927).

7851961 is a wasteful number, since it uses less digits than its factorization.

7851961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its digits is 15120, while the sum is 37.

The square root of 7851961 is about 2802.1350788283. The cubic root of 7851961 is about 198.7586528938.

The spelling of 7851961 in words is "seven million, eight hundred fifty-one thousand, nine hundred sixty-one".