971667 has 12 divisors (see below), whose sum is σ = 1418040. Its totient is φ = 641088.

The previous prime is 971653. The next prime is 971683. The reversal of 971667 is 766179.

It is not a de Polignac number, because 971667 - 2⁴ = 971651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (971767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459 + ... + 1467.

It is an arithmetic number, because the mean of its divisors is an integer number (118170).

2⁹⁷¹⁶⁶⁷ is an apocalyptic number.

971667 is a deficient number, since it is larger than the sum of its proper divisors (446373).

971667 is a wasteful number, since it uses less digits than its factorization.

971667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1119 counting only the distinct ones).

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

The square root of 971667 is about 985.7317079206. The cubic root of 971667 is about 99.0465040166.

It can be divided in two parts, 97 and 1667, that added together give a square (1764 = 42²).

The spelling of 971667 in words is "nine hundred seventy-one thousand, six hundred sixty-seven".