84741 has 8 divisors (see below), whose sum is σ = 115584. Its totient is φ = 55200.

The previous prime is 84737. The next prime is 84751. The reversal of 84741 is 14748.

84741 = T₃₅ + T₃₆ + ... + T₈₁.

84741 = 93² + 94² + ... + 101².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 84741 - 2² = 84737 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (14448).

2⁸⁴⁷⁴¹ is an apocalyptic number.

It is an amenable number.

84741 is a deficient number, since it is larger than the sum of its proper divisors (30843).

84741 is a wasteful number, since it uses less digits than its factorization.

84741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651.

The product of its digits is 896, while the sum is 24.

The square root of 84741 is about 291.1030745286. The cubic root of 84741 is about 43.9235932906.

Subtracting from 84741 its product of digits (896), we obtain a triangular number (83845 = T₄₀₉).

It can be divided in two parts, 847 and 41, that added together give a palindrome (888).

The spelling of 84741 in words is "eighty-four thousand, seven hundred forty-one".