39504961 has 8 divisors (see below), whose sum is σ = 41399424. Its totient is φ = 37625280.

The previous prime is 39504893. The next prime is 39504973. The reversal of 39504961 is 16940593.

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

It is a cyclic number.

It is not a de Polignac number, because 39504961 - 2⁷ = 39504833 is a prime.

It is a super-2 number, since 2×39504961² = 3121283887223042, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 39504961.

It is not an unprimeable number, because it can be changed into a prime (39504161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1980 + ... + 9106.

It is an arithmetic number, because the mean of its divisors is an integer number (5174928).

Almost surely, 2^39504961 is an apocalyptic number.

It is an amenable number.

39504961 is a deficient number, since it is larger than the sum of its proper divisors (1894463).

39504961 is a wasteful number, since it uses less digits than its factorization.

39504961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7391.

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 39504961 is about 6285.2972085654. The cubic root of 39504961 is about 340.5784875019.

It can be divided in two parts, 3950 and 4961, that added together give a triangular number (8911 = T₁₃₃).

The spelling of 39504961 in words is "thirty-nine million, five hundred four thousand, nine hundred sixty-one".