84997 has 4 divisors (see below), whose sum is σ = 92736. Its totient is φ = 77260.

The previous prime is 84991. The next prime is 85009. The reversal of 84997 is 79948.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 84997 - 2⁷ = 84869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84991) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3853 + ... + 3874.

It is an arithmetic number, because the mean of its divisors is an integer number (23184).

2⁸⁴⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

84997 is a deficient number, since it is larger than the sum of its proper divisors (7739).

84997 is a wasteful number, since it uses less digits than its factorization.

84997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7738.

The product of its digits is 18144, while the sum is 37.

The square root of 84997 is about 291.5424497393. The cubic root of 84997 is about 43.9677794414.

It can be divided in two parts, 849 and 97, that added together give a triangular number (946 = T₄₃).

The spelling of 84997 in words is "eighty-four thousand, nine hundred ninety-seven".