967887 has 24 divisors (see below), whose sum is σ = 1489488. Its totient is φ = 604800.

The previous prime is 967877. The next prime is 967903. The reversal of 967887 is 788769.

It is not a de Polignac number, because 967887 - 2⁶ = 967823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967847) 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, 15837 + ... + 15897.

It is an arithmetic number, because the mean of its divisors is an integer number (62062).

2⁹⁶⁷⁸⁸⁷ is an apocalyptic number.

967887 is a deficient number, since it is larger than the sum of its proper divisors (521601).

967887 is a wasteful number, since it uses less digits than its factorization.

967887 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 148 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 967887 is about 983.8124821326. The cubic root of 967887 is about 98.9178994874.

It can be divided in two parts, 9 and 67887, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 967887 in words is "nine hundred sixty-seven thousand, eight hundred eighty-seven".