84461 has 8 divisors (see below), whose sum is σ = 93240. Its totient is φ = 76032.

The previous prime is 84457. The next prime is 84463. The reversal of 84461 is 16448.

84461 = 44² + 45² + ... + 69².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 361 + 84100 = 19^2 + 290^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 84461 - 2² = 84457 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 905 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (11655).

2⁸⁴⁴⁶¹ is an apocalyptic number.

84461 is the 206-th centered square number.

It is an amenable number.

84461 is a deficient number, since it is larger than the sum of its proper divisors (8779).

84461 is a wasteful number, since it uses less digits than its factorization.

84461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

The product of its digits is 768, while the sum is 23.

The square root of 84461 is about 290.6217472936. The cubic root of 84461 is about 43.8751626739.

It can be divided in two parts, 84 and 461, that added together give a palindrome (545).

The spelling of 84461 in words is "eighty-four thousand, four hundred sixty-one".