68461 has 4 divisors (see below), whose sum is σ = 68992. Its totient is φ = 67932.

The previous prime is 68449. The next prime is 68473. The reversal of 68461 is 16486.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 16486 = 2 ⋅8243.

It is an interprime number because it is at equal distance from previous prime (68449) and next prime (68473).

It is a cyclic number.

It is not a de Polignac number, because 68461 - 2¹¹ = 66413 is a prime.

It is a Duffinian number.

68461 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68491) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70 + ... + 376.

It is an arithmetic number, because the mean of its divisors is an integer number (17248).

2⁶⁸⁴⁶¹ is an apocalyptic number.

It is an amenable number.

68461 is a deficient number, since it is larger than the sum of its proper divisors (531).

68461 is a wasteful number, since it uses less digits than its factorization.

68461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530.

The product of its digits is 1152, while the sum is 25.

The square root of 68461 is about 261.6505302880. The cubic root of 68461 is about 40.9085807643.

Adding to 68461 its sum of digits (25), we get a palindrome (68486).

It can be divided in two parts, 68 and 461, that added together give a square (529 = 23²).

The spelling of 68461 in words is "sixty-eight thousand, four hundred sixty-one".