967905 has 24 divisors (see below), whose sum is σ = 1700712. Its totient is φ = 509184.

The previous prime is 967903. The next prime is 967919. The reversal of 967905 is 509769.

967905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 904401 = 252^2 + 951^2 .

It is not a de Polignac number, because 967905 - 2¹ = 967903 is a prime.

It is an Ulam number.

It is a Curzon number.

967905 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 967905.

It is not an unprimeable number, because it can be changed into a prime (967903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6087 + ... + 6243.

It is an arithmetic number, because the mean of its divisors is an integer number (70863).

2⁹⁶⁷⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

967905 is a deficient number, since it is larger than the sum of its proper divisors (732807).

967905 is a wasteful number, since it uses less digits than its factorization.

967905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 967905 is about 983.8216301749. The cubic root of 967905 is about 98.9185126826.

It can be divided in two parts, 96 and 7905, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 967905 in words is "nine hundred sixty-seven thousand, nine hundred five".