3172957 has 2 divisors, whose sum is σ = 3172958. Its totient is φ = 3172956.

The previous prime is 3172937. The next prime is 3172973. The reversal of 3172957 is 7592713.

3172957 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., 2114116 + 1058841 = 1454^2 + 1029^2 .

It is an emirp because it is prime and its reverse (7592713) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3172957 - 2¹⁹ = 2648669 is a prime.

It is a super-2 number, since 2×3172957² = 20135312247698, which contains 22 as substring.

3172957 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3172907) 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, 1586478 + 1586479.

It is an arithmetic number, because the mean of its divisors is an integer number (1586479).

Almost surely, 2^3172957 is an apocalyptic number.

It is an amenable number.

3172957 is a deficient number, since it is larger than the sum of its proper divisors (1).

3172957 is an equidigital number, since it uses as much as digits as its factorization.

3172957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13230, while the sum is 34.

The square root of 3172957 is about 1781.2795962454. The cubic root of 3172957 is about 146.9449714588.

The spelling of 3172957 in words is "three million, one hundred seventy-two thousand, nine hundred fifty-seven".