1003957 has 2 divisors, whose sum is σ = 1003958. Its totient is φ = 1003956.

The previous prime is 1003943. The next prime is 1003963. The reversal of 1003957 is 7593001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 505521 + 498436 = 711^2 + 706^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1003957 is a prime.

1003957 is a lucky number.

It is equal to p₇₈₈₀₂ and since 1003957 and 78802 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 (1003907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501978 + 501979.

It is an arithmetic number, because the mean of its divisors is an integer number (501979).

2^1003957 is an apocalyptic number.

It is an amenable number.

1003957 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003957 is an equidigital number, since it uses as much as digits as its factorization.

1003957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 1003957 is about 1001.9765466317. The cubic root of 1003957 is about 100.1317264054.

Adding to 1003957 its reverse (7593001), we get a palindrome (8596958).

The spelling of 1003957 in words is "one million, three thousand, nine hundred fifty-seven".