961917 has 16 divisors (see below), whose sum is σ = 1417728. Its totient is φ = 575280.

The previous prime is 961879. The next prime is 961927. The reversal of 961917 is 719169.

It is not a de Polignac number, because 961917 - 2⁶ = 961853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 961917.

It is not an unprimeable number, because it can be changed into a prime (961927) 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, 3258 + ... + 3540.

It is an arithmetic number, because the mean of its divisors is an integer number (88608).

2⁹⁶¹⁹¹⁷ is an apocalyptic number.

It is an amenable number.

961917 is a deficient number, since it is larger than the sum of its proper divisors (455811).

961917 is a wasteful number, since it uses less digits than its factorization.

961917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400.

The product of its digits is 3402, while the sum is 33.

The square root of 961917 is about 980.7736741981. The cubic root of 961917 is about 98.7141022113.

The spelling of 961917 in words is "nine hundred sixty-one thousand, nine hundred seventeen".