126961 has 2 divisors, whose sum is σ = 126962. Its totient is φ = 126960.

The previous prime is 126949. The next prime is 126967. The reversal of 126961 is 169621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126736 + 225 = 356^2 + 15^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126961 is a prime.

It is a super-2 number, since 2×126961² = 32238191042, which contains 22 as substring.

126961 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (126967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63480 + 63481.

It is an arithmetic number, because the mean of its divisors is an integer number (63481).

2¹²⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

126961 is a deficient number, since it is larger than the sum of its proper divisors (1).

126961 is an equidigital number, since it uses as much as digits as its factorization.

126961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 25.

The square root of 126961 is about 356.3158711032. The cubic root of 126961 is about 50.2601111638.

It can be divided in two parts, 1 and 26961, that added together give a palindrome (26962).

The spelling of 126961 in words is "one hundred twenty-six thousand, nine hundred sixty-one".