1007921 has 2 divisors, whose sum is σ = 1007922. Its totient is φ = 1007920.

The previous prime is 1007891. The next prime is 1007933. The reversal of 1007921 is 1297001.

1007921 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., 1000000 + 7921 = 1000^2 + 89^2 .

It is an emirp because it is prime and its reverse (1297001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1007921 - 2⁶ = 1007857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1007893 and 1007902.

It is not a weakly prime, because it can be changed into another prime (1007971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503960 + 503961.

It is an arithmetic number, because the mean of its divisors is an integer number (503961).

2^1007921 is an apocalyptic number.

It is an amenable number.

1007921 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007921 is an equidigital number, since it uses as much as digits as its factorization.

1007921 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 1007921 is about 1003.9526881283. The cubic root of 1007921 is about 100.2633392490.

It can be divided in two parts, 100 and 7921, that multiplied together give a square (792100 = 890²).

The spelling of 1007921 in words is "one million, seven thousand, nine hundred twenty-one".