956108241 has 27 divisors (see below), whose sum is σ = 1519630203. Its totient is φ = 578841120.

The previous prime is 956108189. The next prime is 956108249. The reversal of 956108241 is 142801659.

The square root of 956108241 is 30921.

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., 50339025 + 905769216 = 7095^2 + 30096^2 .

It is not a de Polignac number, because 956108241 - 2⁷ = 956108113 is a prime.

It is a super-2 number, since 2×956108241² = 1828285937016228162, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 956108196 and 956108205.

It is not an unprimeable number, because it can be changed into a prime (956108249) 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 26 ways as a sum of consecutive naturals, for example, 1019925 + ... + 1020861.

Almost surely, 2^956108241 is an apocalyptic number.

956108241 is the 30921-st square number.

956108241 is the 15461-st centered octagonal number.

It is an amenable number.

956108241 is a deficient number, since it is larger than the sum of its proper divisors (563521962).

956108241 is an equidigital number, since it uses as much as digits as its factorization.

956108241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The cubic root of 956108241 is about 985.1499822292.

Multiplying 956108241 by its sum of digits (36), we get a square (34419896676 = 185526²).

The spelling of 956108241 in words is "nine hundred fifty-six million, one hundred eight thousand, two hundred forty-one".