1007957 has 2 divisors, whose sum is σ = 1007958. Its totient is φ = 1007956.

The previous prime is 1007939. The next prime is 1007959. The reversal of 1007957 is 7597001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 586756 + 421201 = 766^2 + 649^2 .

It is a cyclic number.

It is not a de Polignac number, because 1007957 - 2⁸ = 1007701 is a prime.

Together with 1007959, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₇₉₀₉₄ and since 1007957 and 79094 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007959) 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, 503978 + 503979.

It is an arithmetic number, because the mean of its divisors is an integer number (503979).

2^1007957 is an apocalyptic number.

It is an amenable number.

1007957 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007957 is an equidigital number, since it uses as much as digits as its factorization.

1007957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2205, while the sum is 29.

The square root of 1007957 is about 1003.9706170999. The cubic root of 1007957 is about 100.2645329395.

The spelling of 1007957 in words is "one million, seven thousand, nine hundred fifty-seven".