74961 has 6 divisors (see below), whose sum is σ = 108290. Its totient is φ = 49968.

The previous prime is 74959. The next prime is 75011. The reversal of 74961 is 16947.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 24336 = 225^2 + 156^2 .

It is not a de Polignac number, because 74961 - 2¹ = 74959 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4156 + ... + 4173.

2⁷⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

74961 is a deficient number, since it is larger than the sum of its proper divisors (33329).

74961 is a wasteful number, since it uses less digits than its factorization.

74961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8335 (or 8332 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 74961 is about 273.7900655612. The cubic root of 74961 is about 42.1643222479.

It can be divided in two parts, 74 and 961, that added together give a triangular number (1035 = T₄₅).

The spelling of 74961 in words is "seventy-four thousand, nine hundred sixty-one".