73997 has 12 divisors (see below), whose sum is σ = 95328. Its totient is φ = 55800.

The previous prime is 73973. The next prime is 73999. The reversal of 73997 is 79937.

It is not a de Polignac number, because 73997 - 2¹⁰ = 72973 is a prime.

It is a Duffinian number.

Its product of digits (11907) is a multiple of the sum of its prime divisors (49).

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73999) 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, 2372 + ... + 2402.

It is an arithmetic number, because the mean of its divisors is an integer number (7944).

2⁷³⁹⁹⁷ is an apocalyptic number.

73997 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

73997 is a deficient number, since it is larger than the sum of its proper divisors (21331).

73997 is a wasteful number, since it uses less digits than its factorization.

73997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its digits is 11907, while the sum is 35.

The square root of 73997 is about 272.0238960092. The cubic root of 73997 is about 41.9827971877.

It can be divided in two parts, 7 and 3997, that added together give a palindrome (4004).

The spelling of 73997 in words is "seventy-three thousand, nine hundred ninety-seven".