967716 has 18 divisors (see below), whose sum is σ = 2446262. Its totient is φ = 322560.

The previous prime is 967709. The next prime is 967721. The reversal of 967716 is 617769.

It can be written as a sum of positive squares in only one way, i.e., 910116 + 57600 = 954^2 + 240^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 26881 = 967716 / (9 + 6 + 7 + 7 + 1 + 6).

It is an unprimeable number.

967716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13405 + ... + 13476.

2⁹⁶⁷⁷¹⁶ is an apocalyptic number.

It is an amenable number.

967716 is an abundant number, since it is smaller than the sum of its proper divisors (1478546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

967716 is a wasteful number, since it uses less digits than its factorization.

967716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26891 (or 26886 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 967716 is about 983.7255714883. The cubic root of 967716 is about 98.9120737532.

The spelling of 967716 in words is "nine hundred sixty-seven thousand, seven hundred sixteen".