126202961 has 8 divisors (see below), whose sum is σ = 131403048. Its totient is φ = 121104000.

The previous prime is 126202949. The next prime is 126202963. The reversal of 126202961 is 169202621.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67600 + 126135361 = 260^2 + 11231^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 126202961 - 2²⁶ = 59094097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126202963) 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 in 7 ways as a sum of consecutive naturals, for example, 22730 + ... + 27731.

It is an arithmetic number, because the mean of its divisors is an integer number (16425381).

Almost surely, 2^126202961 is an apocalyptic number.

It is an amenable number.

126202961 is a deficient number, since it is larger than the sum of its proper divisors (5200087).

126202961 is an equidigital number, since it uses as much as digits as its factorization.

126202961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50563.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 126202961 is about 11234.0091240839. The cubic root of 126202961 is about 501.5988300357.

The spelling of 126202961 in words is "one hundred twenty-six million, two hundred two thousand, nine hundred sixty-one".