40971 has 8 divisors (see below), whose sum is σ = 62464. Its totient is φ = 23400.

The previous prime is 40961. The next prime is 40973. The reversal of 40971 is 17904.

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

It is not a de Polignac number, because 40971 - 2⁵ = 40939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 1951 = 40971 / (4 + 0 + 9 + 7 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 955 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (7808).

2⁴⁰⁹⁷¹ is an apocalyptic number.

40971 is a deficient number, since it is larger than the sum of its proper divisors (21493).

40971 is a wasteful number, since it uses less digits than its factorization.

40971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 40971 is about 202.4129442501. The cubic root of 40971 is about 34.4740405432.

The spelling of 40971 in words is "forty thousand, nine hundred seventy-one".