1267633 has 2 divisors, whose sum is σ = 1267634. Its totient is φ = 1267632.

The previous prime is 1267613. The next prime is 1267649. The reversal of 1267633 is 3367621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 795664 + 471969 = 892^2 + 687^2 .

It is a cyclic number.

It is not a de Polignac number, because 1267633 - 2⁹ = 1267121 is a prime.

1267633 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (1267613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 633816 + 633817.

It is an arithmetic number, because the mean of its divisors is an integer number (633817).

2^1267633 is an apocalyptic number.

It is an amenable number.

1267633 is a deficient number, since it is larger than the sum of its proper divisors (1).

1267633 is an equidigital number, since it uses as much as digits as its factorization.

1267633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4536, while the sum is 28.

The square root of 1267633 is about 1125.8920907440. The cubic root of 1267633 is about 108.2258932180.

It can be divided in two parts, 1267 and 633, that multiplied together give a triangular number (802011 = T₁₂₆₆).

The spelling of 1267633 in words is "one million, two hundred sixty-seven thousand, six hundred thirty-three".