971951 has 2 divisors, whose sum is σ = 971952. Its totient is φ = 971950.

The previous prime is 971939. The next prime is 971959. The reversal of 971951 is 159179.

It is a strong prime.

It is an emirp because it is prime and its reverse (159179) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 971951 - 2¹⁰ = 970927 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (971959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 485975 + 485976.

It is an arithmetic number, because the mean of its divisors is an integer number (485976).

2⁹⁷¹⁹⁵¹ is an apocalyptic number.

971951 is a deficient number, since it is larger than the sum of its proper divisors (1).

971951 is an equidigital number, since it uses as much as digits as its factorization.

971951 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2835, while the sum is 32.

The square root of 971951 is about 985.8757528208. The cubic root of 971951 is about 99.0561528871.

It can be divided in two parts, 97 and 1951, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 971951 in words is "nine hundred seventy-one thousand, nine hundred fifty-one".