84337 has 12 divisors (see below), whose sum is σ = 100548. Its totient is φ = 70400.

The previous prime is 84319. The next prime is 84347. The reversal of 84337 is 73348.

It can be written as a sum of positive squares in 2 ways, for example, as 30976 + 53361 = 176^2 + 231^2 .

It is a de Polignac number, because none of the positive numbers 2^k-84337 is a prime.

It is a super-2 number, since 2×84337² = 14225459138, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84307) 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, 2037 + ... + 2077.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2⁸⁴³³⁷ is an apocalyptic number.

It is an amenable number.

84337 is a deficient number, since it is larger than the sum of its proper divisors (16211).

84337 is a wasteful number, since it uses less digits than its factorization.

84337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 69 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 84337 is about 290.4083332138. The cubic root of 84337 is about 43.8536806297.

The spelling of 84337 in words is "eighty-four thousand, three hundred thirty-seven".