1257961 has 2 divisors, whose sum is σ = 1257962. Its totient is φ = 1257960.

The previous prime is 1257959. The next prime is 1257973. The reversal of 1257961 is 1697521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1210000 + 47961 = 1100^2 + 219^2 .

It is a cyclic number.

It is not a de Polignac number, because 1257961 - 2¹ = 1257959 is a prime.

Together with 1257959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1257911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628980 + 628981.

It is an arithmetic number, because the mean of its divisors is an integer number (628981).

2^1257961 is an apocalyptic number.

It is an amenable number.

1257961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257961 is an equidigital number, since it uses as much as digits as its factorization.

1257961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 31.

The square root of 1257961 is about 1121.5886055056. The cubic root of 1257961 is about 107.9499367877.

The spelling of 1257961 in words is "one million, two hundred fifty-seven thousand, nine hundred sixty-one".