3958957 has 2 divisors, whose sum is σ = 3958958. Its totient is φ = 3958956.

The previous prime is 3958949. The next prime is 3959003. The reversal of 3958957 is 7598593.

It is an a-pointer prime, because the next prime (3959003) can be obtained adding 3958957 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3924361 + 34596 = 1981^2 + 186^2 .

It is an emirp because it is prime and its reverse (7598593) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3958957 - 2³ = 3958949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3958937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1979478 + 1979479.

It is an arithmetic number, because the mean of its divisors is an integer number (1979479).

Almost surely, 2^3958957 is an apocalyptic number.

It is an amenable number.

3958957 is a deficient number, since it is larger than the sum of its proper divisors (1).

3958957 is an equidigital number, since it uses as much as digits as its factorization.

3958957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 340200, while the sum is 46.

The square root of 3958957 is about 1989.7127933448. The cubic root of 3958957 is about 158.1953067344.

It can be divided in two parts, 39 and 58957, that added together give a triangular number (58996 = T₃₄₃).

The spelling of 3958957 in words is "three million, nine hundred fifty-eight thousand, nine hundred fifty-seven".