4036187961 has 63 divisors (see below), whose sum is σ = 6589225917. Its totient is φ = 2470085280.

The previous prime is 4036187927. The next prime is 4036187977. The reversal of 4036187961 is 1697816304.

It is a happy number.

The square root of 4036187961 is 63531.

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

4036187961 is a `hidden beast` number, since 403 + 6 + 187 + 9 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3108620025 + 927567936 = 55755^2 + 30456^2 .

It is not a de Polignac number, because 4036187961 - 2⁷ = 4036187833 is a prime.

It is a super-3 number, since 3×4036187961³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4036187921) 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 62 ways as a sum of consecutive naturals, for example, 22299291 + ... + 22299471.

Almost surely, 2^4036187961 is an apocalyptic number.

4036187961 is the 63531-st square number.

4036187961 is the 31766-th centered octagonal number.

It is an amenable number.

4036187961 is a deficient number, since it is larger than the sum of its proper divisors (2553037956).

4036187961 is an frugal number, since it uses more digits than its factorization.

4036187961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The cubic root of 4036187961 is about 1592.1737551876.

The spelling of 4036187961 in words is "four billion, thirty-six million, one hundred eighty-seven thousand, nine hundred sixty-one".