7837737961 has 9 divisors (see below), whose sum is σ = 7892923671. Its totient is φ = 7782937272.

The previous prime is 7837737949. The next prime is 7837738039. The reversal of 7837737961 is 1697377387.

The square root of 7837737961 is 88531.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5252625625 + 2585112336 = 72475^2 + 50844^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7837737961 is a prime.

It is a super-2 number, since 2×7837737961² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7837737896 and 7837737905.

It is not an unprimeable number, because it can be changed into a prime (7837737931) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19742215 + ... + 19742611.

It is an arithmetic number, because the mean of its divisors is an integer number (876991519).

Almost surely, 2^7837737961 is an apocalyptic number.

7837737961 is the 88531-st square number.

7837737961 is the 44266-th centered octagonal number.

It is an amenable number.

7837737961 is a deficient number, since it is larger than the sum of its proper divisors (55185710).

7837737961 is an frugal number, since it uses more digits than its factorization.

7837737961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 620 counting only the distinct ones).

The product of its digits is 9335088, while the sum is 58.

The cubic root of 7837737961 is about 1986.3856991055.

The spelling of 7837737961 in words is "seven billion, eight hundred thirty-seven million, seven hundred thirty-seven thousand, nine hundred sixty-one".