10017961 has 2 divisors, whose sum is σ = 10017962. Its totient is φ = 10017960.

The previous prime is 10017923. The next prime is 10017967. The reversal of 10017961 is 16971001.

10017961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9884736 + 133225 = 3144^2 + 365^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10017961 is a prime.

It is not a weakly prime, because it can be changed into another prime (10017967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5008980 + 5008981.

It is an arithmetic number, because the mean of its divisors is an integer number (5008981).

Almost surely, 2^10017961 is an apocalyptic number.

It is an amenable number.

10017961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10017961 is an equidigital number, since it uses as much as digits as its factorization.

10017961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 25.

The square root of 10017961 is about 3165.1162695863. The cubic root of 10017961 is about 215.5723778611.

Adding to 10017961 its reverse (16971001), we get a palindrome (26988962).

The spelling of 10017961 in words is "ten million, seventeen thousand, nine hundred sixty-one".