967951 has 2 divisors, whose sum is σ = 967952. Its totient is φ = 967950.

The previous prime is 967937. The next prime is 967961. The reversal of 967951 is 159769.

It is a strong prime.

It is an emirp because it is prime and its reverse (159769) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 967951 - 2⁵ = 967919 is a prime.

It is a super-3 number, since 3×967951³ = 2720704489333159053, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 967951.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (967931) 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, 483975 + 483976.

It is an arithmetic number, because the mean of its divisors is an integer number (483976).

2⁹⁶⁷⁹⁵¹ is an apocalyptic number.

967951 is a deficient number, since it is larger than the sum of its proper divisors (1).

967951 is an equidigital number, since it uses as much as digits as its factorization.

967951 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17010, while the sum is 37.

The square root of 967951 is about 983.8450081187. The cubic root of 967951 is about 98.9200797026.

It can be divided in two parts, 9679 and 51, that added together give a triangular number (9730 = T₁₃₉).

The spelling of 967951 in words is "nine hundred sixty-seven thousand, nine hundred fifty-one".