7852361 has 16 divisors (see below), whose sum is σ = 9168768. Its totient is φ = 6652800.

The previous prime is 7852349. The next prime is 7852373. The reversal of 7852361 is 1632587.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7852349) and next prime (7852373).

It is not a de Polignac number, because 7852361 - 2¹⁴ = 7835977 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7852261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9995 + ... + 10751.

It is an arithmetic number, because the mean of its divisors is an integer number (573048).

Almost surely, 2^7852361 is an apocalyptic number.

It is an amenable number.

7852361 is a deficient number, since it is larger than the sum of its proper divisors (1316407).

7852361 is a wasteful number, since it uses less digits than its factorization.

7852361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832.

The product of its digits is 10080, while the sum is 32.

The square root of 7852361 is about 2802.2064520659. The cubic root of 7852361 is about 198.7620279366.

The spelling of 7852361 in words is "seven million, eight hundred fifty-two thousand, three hundred sixty-one".