73967 has 8 divisors (see below), whose sum is σ = 82800. Its totient is φ = 65664.

The previous prime is 73961. The next prime is 73973. The reversal of 73967 is 76937.

It is an interprime number because it is at equal distance from previous prime (73961) and next prime (73973).

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

It is not a de Polignac number, because 73967 - 2⁴ = 73951 is a prime.

It is a super-2 number, since 2×73967² = 10942234178, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (10350).

2⁷³⁹⁶⁷ is an apocalyptic number.

73967 is a deficient number, since it is larger than the sum of its proper divisors (8833).

73967 is a wasteful number, since it uses less digits than its factorization.

73967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265.

The product of its digits is 7938, while the sum is 32.

The square root of 73967 is about 271.9687482046. The cubic root of 73967 is about 41.9771228398.

The spelling of 73967 in words is "seventy-three thousand, nine hundred sixty-seven".