966951 has 16 divisors (see below), whose sum is σ = 1459200. Its totient is φ = 632664.

The previous prime is 966937. The next prime is 966961. The reversal of 966951 is 159669.

966951 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 966951 - 2⁵ = 966919 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 966951.

It is not an unprimeable number, because it can be changed into a prime (966961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290 + ... + 1896.

It is an arithmetic number, because the mean of its divisors is an integer number (91200).

2⁹⁶⁶⁹⁵¹ is an apocalyptic number.

966951 is a deficient number, since it is larger than the sum of its proper divisors (492249).

966951 is a wasteful number, since it uses less digits than its factorization.

966951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 669 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 966951 is about 983.3366666610. The cubic root of 966951 is about 98.8860028522.

The spelling of 966951 in words is "nine hundred sixty-six thousand, nine hundred fifty-one".