162967 has 8 divisors (see below), whose sum is σ = 192512. Its totient is φ = 135000.

The previous prime is 162947. The next prime is 162971. The reversal of 162967 is 769261.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 162967 - 2⁷ = 162839 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

162967 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (24064).

2¹⁶²⁹⁶⁷ is an apocalyptic number.

162967 is a deficient number, since it is larger than the sum of its proper divisors (29545).

162967 is an equidigital number, since it uses as much as digits as its factorization.

162967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789.

The product of its digits is 4536, while the sum is 31.

The square root of 162967 is about 403.6917140591. The cubic root of 162967 is about 54.6218690768.

The spelling of 162967 in words is "one hundred sixty-two thousand, nine hundred sixty-seven".