84731 has 2 divisors, whose sum is σ = 84732. Its totient is φ = 84730.

The previous prime is 84719. The next prime is 84737. The reversal of 84731 is 13748.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-84731 is a prime.

It is a super-2 number, since 2×84731² = 14358684722, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 84697 and 84706.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84731.

It is not a weakly prime, because it can be changed into another prime (84737) 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 as a sum of consecutive naturals, namely, 42365 + 42366.

It is an arithmetic number, because the mean of its divisors is an integer number (42366).

2⁸⁴⁷³¹ is an apocalyptic number.

84731 is a deficient number, since it is larger than the sum of its proper divisors (1).

84731 is an equidigital number, since it uses as much as digits as its factorization.

84731 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 23.

The square root of 84731 is about 291.0858979752. The cubic root of 84731 is about 43.9218654642.

It can be divided in two parts, 847 and 31, that added together give a palindrome (878).

The spelling of 84731 in words is "eighty-four thousand, seven hundred thirty-one".