84761 has 2 divisors, whose sum is σ = 84762. Its totient is φ = 84760.

The previous prime is 84751. The next prime is 84787. The reversal of 84761 is 16748.

It is an a-pointer prime, because the next prime (84787) can be obtained adding 84761 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 17161 = 260^2 + 131^2 .

It is a cyclic number.

It is not a de Polignac number, because 84761 - 2⁶ = 84697 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 84761.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84761.

It is not a weakly prime, because it can be changed into another prime (84701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42380 + 42381.

It is an arithmetic number, because the mean of its divisors is an integer number (42381).

2⁸⁴⁷⁶¹ is an apocalyptic number.

It is an amenable number.

84761 is a deficient number, since it is larger than the sum of its proper divisors (1).

84761 is an equidigital number, since it uses as much as digits as its factorization.

84761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1344, while the sum is 26.

The square root of 84761 is about 291.1374245953. The cubic root of 84761 is about 43.9270485357.

The spelling of 84761 in words is "eighty-four thousand, seven hundred sixty-one".