403957 has 2 divisors, whose sum is σ = 403958. Its totient is φ = 403956.

The previous prime is 403951. The next prime is 403969. The reversal of 403957 is 759304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 239121 + 164836 = 489^2 + 406^2 .

It is a cyclic number.

It is not a de Polignac number, because 403957 - 2⁷ = 403829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (403951) 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, 201978 + 201979.

It is an arithmetic number, because the mean of its divisors is an integer number (201979).

2⁴⁰³⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

403957 is a deficient number, since it is larger than the sum of its proper divisors (1).

403957 is an equidigital number, since it uses as much as digits as its factorization.

403957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 403957 is about 635.5761166060. The cubic root of 403957 is about 73.9227950576.

It can be divided in two parts, 4039 and 57, that added together give a 12-th power (4096 = 2¹²).

The spelling of 403957 in words is "four hundred three thousand, nine hundred fifty-seven".