977967 has 16 divisors (see below), whose sum is σ = 1500000. Its totient is φ = 628992.

The previous prime is 977927. The next prime is 977971. The reversal of 977967 is 769779.

It is not a de Polignac number, because 977967 - 2¹⁸ = 715823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977927) 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 15 ways as a sum of consecutive naturals, for example, 159 + ... + 1407.

It is an arithmetic number, because the mean of its divisors is an integer number (93750).

2⁹⁷⁷⁹⁶⁷ is an apocalyptic number.

977967 is a deficient number, since it is larger than the sum of its proper divisors (522033).

977967 is a wasteful number, since it uses less digits than its factorization.

977967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1281 counting only the distinct ones).

The product of its digits is 166698, while the sum is 45.

The square root of 977967 is about 988.9221405146. The cubic root of 977967 is about 99.2601057331.

The spelling of 977967 in words is "nine hundred seventy-seven thousand, nine hundred sixty-seven".