61743 has 8 divisors (see below), whose sum is σ = 89856. Its totient is φ = 37400.

The previous prime is 61729. The next prime is 61751. The reversal of 61743 is 34716.

61743 = 3⁵ + 4⁵ + ... + 8⁵.

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

It is not a de Polignac number, because 61743 - 2⁸ = 61487 is a prime.

It is a d-powerful number, because it can be written as 6² + 1 + 7⁴ + 4⁴ + 3¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61703) 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, 903 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (11232).

2⁶¹⁷⁴³ is an apocalyptic number.

61743 is a deficient number, since it is larger than the sum of its proper divisors (28113).

61743 is a wasteful number, since it uses less digits than its factorization.

61743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885.

The product of its digits is 504, while the sum is 21.

The square root of 61743 is about 248.4813876330. The cubic root of 61743 is about 39.5241533632.

The spelling of 61743 in words is "sixty-one thousand, seven hundred forty-three".