147967 has 4 divisors (see below), whose sum is σ = 149920. Its totient is φ = 146016.

The previous prime is 147949. The next prime is 147977. The reversal of 147967 is 769741.

It is a semiprime because it is the product of two primes.

It is a 5-Lehmer number, since φ(147967) divides (147967-1)⁵.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-147967 is a prime.

It is a Duffinian number.

147967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147937) 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 3 ways as a sum of consecutive naturals, for example, 858 + ... + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (37480).

2¹⁴⁷⁹⁶⁷ is an apocalyptic number.

147967 is a deficient number, since it is larger than the sum of its proper divisors (1953).

147967 is an equidigital number, since it uses as much as digits as its factorization.

147967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952.

The product of its digits is 10584, while the sum is 34.

The square root of 147967 is about 384.6647891346. The cubic root of 147967 is about 52.8917929957.

The spelling of 147967 in words is "one hundred forty-seven thousand, nine hundred sixty-seven".