961947 has 12 divisors (see below), whose sum is σ = 1588080. Its totient is φ = 549648.

The previous prime is 961943. The next prime is 961957. The reversal of 961947 is 749169.

It is not a de Polignac number, because 961947 - 2² = 961943 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.

961947 is a lucky number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 961947.

It is not an unprimeable number, because it can be changed into a prime (961943) 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 in 11 ways as a sum of consecutive naturals, for example, 7572 + ... + 7697.

It is an arithmetic number, because the mean of its divisors is an integer number (132340).

2⁹⁶¹⁹⁴⁷ is an apocalyptic number.

961947 is a deficient number, since it is larger than the sum of its proper divisors (626133).

961947 is a wasteful number, since it uses less digits than its factorization.

961947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15282 (or 15279 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 961947 is about 980.7889681272. The cubic root of 961947 is about 98.7151284232.

The spelling of 961947 in words is "nine hundred sixty-one thousand, nine hundred forty-seven".