7842165137 has 4 divisors (see below), whose sum is σ = 7843368420. Its totient is φ = 7840961856.

The previous prime is 7842165131. The next prime is 7842165157. The reversal of 7842165137 is 7315612487.

It is a Cunningham number, because it is equal to 88556²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2658021136 + 5184144001 = 51556^2 + 72001^2 .

It is a cyclic number.

It is not a de Polignac number, because 7842165137 - 2¹⁸ = 7841902993 is a prime.

It is a super-2 number, since 2×7842165137² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7842165131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 591812 + ... + 604917.

It is an arithmetic number, because the mean of its divisors is an integer number (1960842105).

Almost surely, 2^7842165137 is an apocalyptic number.

It is an amenable number.

7842165137 is a deficient number, since it is larger than the sum of its proper divisors (1203283).

7842165137 is a wasteful number, since it uses less digits than its factorization.

7842165137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203282.

The product of its digits is 282240, while the sum is 44.

The square root of 7842165137 is about 88556.0000056461. Note that the first 5 decimals coincide. The cubic root of 7842165137 is about 1986.7596345389.

The spelling of 7842165137 in words is "seven billion, eight hundred forty-two million, one hundred sixty-five thousand, one hundred thirty-seven".