74971 has 8 divisors (see below), whose sum is σ = 82880. Its totient is φ = 67392.

The previous prime is 74959. The next prime is 75011. The reversal of 74971 is 17947.

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

It is not a de Polignac number, because 74971 - 2⁷ = 74843 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74941) 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, 910 + ... + 988.

It is an arithmetic number, because the mean of its divisors is an integer number (10360).

2⁷⁴⁹⁷¹ is an apocalyptic number.

74971 is a deficient number, since it is larger than the sum of its proper divisors (7909).

74971 is a wasteful number, since it uses less digits than its factorization.

74971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165.

The product of its digits is 1764, while the sum is 28.

The square root of 74971 is about 273.8083271195. The cubic root of 74971 is about 42.1661971094.

It can be divided in two parts, 749 and 71, that added together give a triangular number (820 = T₄₀).

The spelling of 74971 in words is "seventy-four thousand, nine hundred seventy-one".