41731 has 4 divisors (see below), whose sum is σ = 43200. Its totient is φ = 40264.

The previous prime is 41729. The next prime is 41737. The reversal of 41731 is 13714.

41731 = 23² + 24² + ... + 51².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 13714 = 2 ⋅6857.

It is a cyclic number.

It is not a de Polignac number, because 41731 - 2¹ = 41729 is a prime.

It is a super-2 number, since 2×41731² = 3482952722, which contains 22 as substring.

It is a Duffinian number.

41731 is a lucky number.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (41737) 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, 691 + ... + 748.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2⁴¹⁷³¹ is an apocalyptic number.

41731 is a deficient number, since it is larger than the sum of its proper divisors (1469).

41731 is a wasteful number, since it uses less digits than its factorization.

41731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468.

The product of its digits is 84, while the sum is 16.

The square root of 41731 is about 204.2816682916. The cubic root of 41731 is about 34.6858970393.

The spelling of 41731 in words is "forty-one thousand, seven hundred thirty-one".